The controversial forward has joined up with the Reds squad alongside compatriot Sebastian Coates after Uruguay's Olympic participation came to an end
Manager Brendan Rodgers is now close to having a full squad for the first time since his arrival, though Craig Bellamy is yet to join up with the Reds after Team GB's London 2012 exploits went on till Saturday.
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And the recently appointed Northern Irishman expressed his excitement at working with the talented Uruguayan forward.
"It will be fantastic to have Luis coming back, and he is already fighting fit. He will have a couple of days off and join up with us after the weekend." Rodgers stated.
“He's been playing games, so he will already be up to a decent level of fitness, maybe even higher really, because he's had more competitive games. I'm really looking forward to working with him.”