Fulham are hoping to persuade goalkeeper Marcus Bettinelli and forward Moussa Dembele to stay at the club.
Bettinelli broke into the Whites first team last season and also earned himself a call-up to the England Under-21 squad for the European Championship this summer.
Speculation has linked him with a move to Chelsea, but Fulham have offered the 23-year-old stopper, Dembele and Emerson Hyndman new deals.
All three are out of contract at the end of the campaign but boss Kit Symons hopes to convince them to commit their future to the club.
He said: “We’ve talked to all of them, certainly, and I’d like them all to stay at the club.
“They’re good, bright young players and we want them to be here, but as you saw with Pat Roberts [who moved to Man City] that cannot always be the case.
“Ultimately the players have got to want to be here, you can’t force anyone to sign a contract, and I want players who are totally committed to the football club.
“Hopefully they’ll all sign and show the level of commitment that’s required. I’d be delighted if that was the case but also I’m realistic.”
Meanwhile, out-of-favour striker Kostas Mitroglou has joined Benfica on a season-long loan.
The Greece international was signed in January 2014 for £11m from Olympiacos but has only played three times for the Whites.
He returned to his former club on a season-long loan last term and Symons says he is happy for the player to go out on loan again.