
    AMERICAN HOTEL INTERNATIONAL GROUP, INC., Aramarine Brokerage, Inc., Ara Purchasing Group, Inc., Asta PG, Inc., Livery PG, Inc., Naa Purchasing Group, Inc., Restaurant Group, doing business as Restaurant Group Delaware, Inc., and Silver Car Purchasing Group, Inc., Plaintiff-Counter-Defendants, Aramarine, Brokerage, Inc., Plaintiff-Counter-Defendant-Appellant, v. ONEBEACON INSURANCE COMPANY, Defendant-Movant-Counter-Claimant-Appellee, CGU Corporation, Defendant, Potomac Insurance Company of Illinois, Defendant-Counter-Claimant.
    No. 09-2627-cv.
    United States Court of Appeals, Second Circuit.
    March 12, 2010.
    Kenneth J. Kelly (Jennifer M. Horowitz, on the brief), Epstein Becker & Green, P.C., New York, NY, for Plaintiff-Counter-Defendant-Appellant.
    Richard I. Ifft (Benjamin Joseph Theis-man, on the brief), Wiley Rein LLP, Washington, DC; Gregory J. Castaño, Castaño Quigley, L.L.C., West Caldwell, NJ, for Defendant-Movant-Counter-Claimant-Appellee.
    PRESENT: JOHN M. WALKER, JR., DEBRA ANN LIVINGSTON, GERARD E. LYNCH, Circuit Judges.
   SUMMARY ORDER

Plaintiff-Counter-Defendant-Appellant Aramarine Brokerage, Inc. (“Aramarine”), an insurance agent and broker, appeals from a judgment of the United States District Court for the Southern District of New York (McMahon, J.) granting Defendant-Movant-Counter-Claimant-Appellee OneBeacon Insurance Company (“OneBea-con”) summary judgment on its counterclaim. We assume the parties’ familiarity with the underlying facts and procedural history of the case, which we reference only as necessary to explain our decision.

In a previous appeal to this Court, Ara-marine challenged the district court’s determination that an alleged oral agreement forming the basis of Aramarine’s claims against OneBeacon was governed by New York law and failed to satisfy the State’s statute of frauds. Aramarine Brokerage, Inc. v. OneBeacon Ins. Co., 307 Fed.Appx. 562, 568 (2d Cir.2009). Aramarine also challenged the district court’s determination that another alleged oral agreement (the “Elmasri-Freyberger Agreement”), which formed the basis of Aramarine’s defense to OneBeacon’s counterclaim, was similarly governed by New York law and equally void. Id. This Court’s summary order vacated the district court’s judgment on the ground that the oral agreement underpinning Aramarine’s claims was governed by Pennsylvania law, and not void under that State’s statute of frauds. Id. at 564-65. But we did not speak directly to OneBeacon’s counterclaim or the Elmasri-Freyberger Agreement. Nor did this Court address the district court’s alternative finding, addressed only in a footnote to OneBeacon’s brief and in Aramarine’s reply brief, that the Elmasri-Freyberger Agreement, even if valid under the statute of frauds, would have failed for want of consideration. Id.

On remand, the district court determined that our conclusion regarding the correct choice of law for the first alleged oral agreement necessarily governed choice of law for the Elmasri-Freyberger Agreement, and accordingly concluded that the statute of frauds was no bar to the validity of the latter as a defense to One-Beacon’s counterclaim. The court also concluded, however, that our order did not address its previous, alternative holding that the Elmasri-Freyberger Agreement failed for want of consideration. After reviewing the requirements of the law of the case doctrine, the court elected to adhere to its “no consideration” holding, and again entered summary judgment in favor of OneBeacon on its counterclaim before proceeding to trial on Aramarine’s claims.

Aramarine now argues that the district court failed to comply with our previous mandate, contending that our order, by vacating the district court’s judgment in its entirety, impliedly rejected the district court’s alternative holding. It further asserts that the district court erred by even considering the lack of consideration argument, because it was originally presented to Judge Casey by way of OneBeacon’s reply brief in support of summary judgment. Finally, Aramarine argues that even if our summary order left the alternative holding undisturbed and the argument supporting that holding was properly considered by the district court in the first instance, the court abused its discretion in adhering to that holding. For the following reasons, we disagree.

“Under the doctrine of law of the case, a district court generally may not deviate from a mandate issued by an appellate court, and the appellate court retains the right to control the actions of the district court where the mandate has been misconstrued or has not been given full effect.” In re Ivan F. Boesky Sec. Litig., 957 F.2d 65, 69 (2d Cir.1992) (internal citations omitted). Accordingly, this Court “retains the authority to determine whether the terms of the mandate have been ‘scrupulously and fully carried out,’ ” id. (quoting United States v. E.I. du Pont de Nemours & Co., 366 U.S. 316, 325, 81 S.Ct. 1243, 6 L.Ed.2d 318 (1961)), and reviews the judgment of the district court de novo for compliance with the mandate, Carroll v. Blinken, 42 F.3d 122, 126 (2d Cir.1994).

Aramarine is correct that a finding that has been vacated ceases to be the law of the case, and that this includes a finding not expressly addressed but necessarily rejected by an appellate court’s reasoning. See United States v. Minicone, 994 F.2d 86, 89 (2d Cir.1993). Yet it is equally true that the findings of a district court not expressly or implicitly addressed on appeal remain the law of the case. See In re PCH Assocs., 949 F.2d 585, 593 (2d Cir.1991). Our previous summary order referenced OneBeacon’s counterclaim only in describing the extent of the district court’s order, and expressly addressed only the oral agreement related to Aramarine’s primary claims. Moreover, we carefully qualified the scope of our order, stating:

We express no views on whether Arama-rine obtained an oral agreement, and if so, what were its terms. Nor do we express a view on whether any oral agreement made was a modification of the Broker’s Agreement. We simply note that because the district court assumed the alleged oral agreement to be a modification of the Broker’s Agreement, which specified a choice of Pennsylvania law, in the absence of reasons for rejecting the choice of law made by the parties, the district court should enforce such a contractual choice of law.

Aramarine Brokerage, 307 Fed.Appx. at 565. While, on remand, this analysis necessarily dictated choice of law with respect to the Elmasri-Freyberger Agreement as well, see 18B Charles A. Wright, Arthur R. Miller & Edward H. Cooper, Federal Practice & Procedure § 4478, at 662-63 (2d ed. 2002) (“If the analysis used to dispose of an issue before the court controls disposition of an issue that was not considered ... the law of the case established by the analysis may control disposition of the new issue.”), it did not purport to address the district court’s alternative holding that the Elmasri-Freyberger agreement was not supported by consideration. The district court did not err in determining that our order left that holding undisturbed.

We turn next to Aramarine’s contention that the district court erred by considering the “no consideration” argument in the first instance, because the argument was first raised in a reply brief. This assignment of error is untimely. “Under [the law of the case] doctrine, a decision made at a previous stage of litigation, which could have been challenged in the ensuing appeal but was not, becomes the law of the case; the parties are deemed to have waived the right to challenge that decision, for ‘[i]t would be absurd that a party who has chosen not to argue a point on a first appeal should stand better as regards the law of the case than one who had argued and lost.’ ” County of Suffolk v. Stone & Webster Eng’g Corp., 106 F.3d 1112, 1117 (2d Cir.1997) (quoting Fogel v. Chestnutt, 668 F.2d 100, 109 (2d Cir.1981)). As Ara-marine admits, the opening brief of its first appeal “treated the ‘alternative’ basis [for the district court’s decision] as a nullity.” Appellant’s Br. at 14. Accordingly, Ara-marine is no longer in a position to challenge the district court’s decision to consider the “no consideration” argument that informed its holding. For the same reasons, Aramarine’s argument that Judge McMahon should not have treated Judge Casey’s ruling on consideration as the law of the case is incorrect.

We have considered all of Aramarine’s other arguments and find them to be without merit. For the foregoing reasons, the judgment of the district court is hereby AFFIRMED. 
      
      . This earlier judgment was entered by the late Richard C. Casey, United States District Judge for the Southern District of New York. The case was reassigned to Judge McMahon following Judge Casey's death.
     