SUMMARY ORDER

This case returns to us following a remand pursuant to United States v. Jacobson, 15 F.3d 19 (2d Cir. 1994), in which we instructed the district court to solicit competent evidence as to whether Plaintiff Angela McAllister, pro se, had an employment 'contract with the Defendants and, if so, what the terms of that contract were when the Defendants instituted a mandatory arbitration requirement. See McAlliter v. Smith Barney/Citigroup Global Mkts. Inc., 504 Fed.Appx. 55, 56 (2d Cir. 2012). On remand, the district court found, based on McAllister’s 1991 employment application, that her employment had always been at-will. The court further held that, as an at-will employee, McAllis-ter’s continued employment after the amendment of the Defendants’ employee handbook constituted her acceptance to the new terms in the handbook, including a mandatory arbitration provision. On that basis, the district court granted the Defendants’ motion to compel arbitration. We assume the parties’ familiarity with the underlying facts, the procedural history of the case, and the issues on appeal.

Under the framework established by the Federal Arbitration Act, a district court generally must compel arbitration upon determining that a contractually valid arbitration agreement exists under the relevant state law and that the parties’ dispute falls within the scope of that agreement. See Cap Gemini Ernst & Young, U.S., LLP v. Nackel, 346 F.3d 360, 364-65 (2d Cir. 2003). We review de novo the district court’s decision to compel arbitration. Id. at 65. “The determination of whether parties have contractually bound themselves to arbitrate a dispute — a determination involving interpretation of state law — is a legal conclusion also subject to de novo review.” Specht v. Netscape Commc’ns Corp., 306 F.3d 17, 26 (2d Cir. 2002).

McAllister first argues that the district court on remand improperly limited her discovery by preventing her from obtaining from the Defendants documents consisting of a signed arbitration agreement or an employment contract. It has always been the Defendants’ position that *19 no such documents existed. McAllister herself conceded that no written employment contract existed when she represented to the district court that there was “no factual evidence of any kind linking her to a contractual employment agreement.” Moreover, although the Federal Arbitration Act requires an arbitration clause to be set forth in writing, it does not require that writing to be signed. See 9 U.S.C. § 2; Genesco, Inc. v. T. Kakiuchi & Co., Ltd., 815 F.2d 840, 846 (2d Cir. 1987) (“[I]t is well-established that a party may be bound by an agreement to arbitrate even absent a signature”). In addition, in Connecticut, the terms of employment also may be determined even in the absence of an express written agreement. See Torosyan v. Boehringer Ingelheim Pharmaceuticals, 234 Conn. 1, 13, 662 A.2d 89 (1995). Thus, because neither a signed arbitration agreement nor a written employment con-. tract was necessary to reach a conclusion that a contractual relationship existed or that the arbitration agreement was binding, the district court did not abuse its discretion when it did not require Defendants to disclose nonexistent evidence. See S. New England Tel. Co. v. Global NAPs Inc., 624 F.3d 123, 147 (2d Cir. 2010) (district court decision to impose default as a discovery sanction reviewed for abuse of discretion).

Under Connecticut law “all employer-employee relationships not governed by express contracts involve some type of implied ‘contract’ of employment,” the contents of which are determined by an examination of “the factual circumstances of the parties’ relationship ... in light of legal rules governing unilateral contracts.” Torosyan, 234 Conn. at 13, 662 A.2d 89. Here, as the district court found, the factual circumstances demonstrate that McAllister’s employment was at-will since its inception, as shown by her 1991 employment application and her failure to introduce evidence suggesting that her employment status changed between her 1991 hiring and the time the Defendants instituted the arbitration requirement in 1993 by including it in a revised employee handbook. The only remaining issue, therefore, is whether McAllister validly accepted the modification to her original unilateral contract, which, at the time she was hired in 1991, did not include a' mandatory arbitration requirement. In Connecticut, the issuance of an employee handbook containing terms different from the original implied unilateral contract “constitute[s] an offer to modify the preexisting terms 'of employment by substituting a new implied contract for the old.” Torosyan, 234 Conn. at 14, 662 A.2d 89. To become enforceable, the proposed modifications, “like the original offers, must be accepted.” Id.

We conclude that the arbitration provision in this case is enforceable against McAllister. First, the fact that McAllister continued to work for the Defendants or their predecessor entities for approximately fifteen years following the first promulgation of the new employee handbook containing the arbitration clause is undoubtedly “relevant to determining whether ... she consented” to the modification of her original contract. Id. at 19, 662 A.2d 89. Second, the Defendants introduced two computer screenshots which state that McAllister electronically “accepted the Employee Handbook” in 2006, 2007, and 2008.- This additional evidence, coupled with the fact that McAllister continued to work after receiving the handbooks, is sufficient to demonstrate her consent to the terms of the new handbook and its arbitration requirement. See Torosyan, 234 Conn. at 19-20, 662 A.2d 89; see also Conn. GemStat. § l-272(b) (“A contract may not be denied legal effect or en *20 forceability solely because an electronic record was used in the formation of the contract.”); Doctor’s Assocs., Inc. v. Distajo, 66 F.3d 438, 453 (2d Cir. 1995) (concluding, in light of “Connecticut’s strong policies favoring arbitration,” that Connecticut courts would find that “where the agreement to arbitrate is integrated into a larger unitary contract, the consideration for the contract as a whole covers the arbitration clause as well.” (internal quotation omitted)). Although McAllister contends that she has no knowledge of receiving or opening the emails containing the employee handbook, that assertion is belied by the screenshots, which state that she received and read at least one of the emails in March 2006. Moreover, given the Defendants’ evidence that McAllister received and accepted the employee handbooks, she may not defeat the motion to compel arbitration by resting on her bare denials that she did not receive the handbooks, but instead “must submit evidentia-ry facts showing that there is a dispute of fact to be tried.” Oppenheimer & Co., Inc. v. Neidhardt, 56 F.3d 352, 358 (2d Cir. 1995). This she has not done.

We have considered all of McAllister’s remaining arguments and find them to be without merit. Accordingly, we AFFIRM the judgment of the district court.