Williams' fiancee is in town, and he has been inquiring about real estate in the area. His comfort level with the area is important in pulling the trigger on the deal.
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Williams' agent, Ben Dogra, wrote in a text to The Associated Press on Wednesday: "We are still continuing to talk."
NFL Network insider Jason La Canfora reported Tuesday that Williams wasn't expected to reach a decision before the end of that day, citing a league source. La Canfora also reported that Williams has a visit planned to at least one other team.
Despite failing to make a decision, Williams was busy Wednesday, one day after he had dinner with Bills management and coaches at a downtown Buffalo restaurant. After taking a physical and touring the Bills' facility Wednesday morning, Williams traveled to Buffalo International Airport to pick up his fiancée.
Williams told Buffalo's WIVB-TV, "We'll see," when asked if his fiancée's arrival was considered a good sign regarding his negotiations with the Bills.
Williams is a two-time Pro Bowl starter who has a Texans franchise-best 53 career sacks, including a team single-season best 14 (2007). Williams was limited to playing just five games last season as a result of a torn chest muscle. He also missed three games in 2010 after having surgery to repair a sports hernia.
The Associated Press contributed to this report.