The likelihood is the New York Giants are not done making big moves this offseason.

One day after signing quarterback Daniel Jones to a four-year deal worth $160 million, general manager Joe Schoen said the team has made offers to running back Saquon Barkley and will continue to negotiate with his representatives. The Giants used the franchise tag Tuesday on Barkley.

Schoen also said the team has begun negotiations with defensive tackle Dexter Lawrence. He is slated to play on the fifth-year option from his rookie deal at $12.4 million.

But the attention now seems to turn to Barkley, who would have become a free agent and hit the open market if the Giants hadn't struck a deal with Jones before Tuesday's deadline. New York offered a deal to Barkley for more than $12 million annually during the bye week back in November. Sources have said they upped the offer slightly in recent weeks.

"Again, we've had deals out, whether it be the bye week or recently, and we're going to continue to negotiate," Schoen said Wednesday in a Zoom news conference to announce the Jones deal. "We love Saquon. He's a good teammate. He's a captain. He's a hell of a player.

"Right now he's under the franchise tag, and as we build the team and continue with our offseason plan, we'll do what is best for our team. We're still mapping that out."

A source told ESPN that they believe a long-term deal is a strong possibility before the start of free agency next week. The two sides are not that far off.