The Boston Herald reported Monday night that Schilling and the team were close to a one-year deal for 2008.
"Things had gathered momentum and if they continued to progress like they did [Monday] something could potentially get done," Schilling told the paper.
Schilling has often repeated that he is seeking a one-year deal worth no more than his $13 million salary of 2007. The paper indicated the deal would be incentive-laden and contingent on the pitcher passing a physical. Schilling turns 41 on Nov. 14.
Schilling's comments of Monday come exactly one week after he filed for free agency. The paper also reported the Astros, Diamondbacks and Phillies all contacted Schilling shortly after he filed for free agency.
Shonda Schilling, the pitcher's wife, hinted on Saturday during a charity dinner that her preference would be to stay in Boston.
"I have had a combination of [emotions], knowing that the end is coming, knowing that my kids are old enough to understand and we've certainly talked about this," she said. "The kids are old enough, and we've moved them all their lives, and the possibility of moving them is hard because they're at an age where they've settled into an age group where they've made friends, but on the other hand, we know it's one year."
Schilling was 9-8 with a 3.87 ERA in 2007 and earned three wins in the playoffs, improving his postseason mark to 11-2.
Mike Petraglia is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.