The two veterans could leave for free at the end of the season if no contract extension is agreed.
“I think, for my part, I’m doing everything I can but ultimately it’s between the player and the club to agree a new deal,” said Di Matteo.
“I have [told the club I want them to stay]. I’m not aware of where they are right now [in terms of the talks]. The players know I would like them to stay, from my point of view.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.