The Reds have decided to focus on other targets they feel may be a better fit than the France international, according to James Pearce of the Liverpool Echo.
Lemar has turned down a new contract at Monaco and could look to leave the club at the end of the season, per L'Equipe (h/t Mikael McKenzie at the Daily Express).
Goal's Robin Bairner showed how the 22-year-old does not command a high salary at Monaco:
Lemar enjoyed a superb last season with Monaco as he played a key role in his team's surge to the Ligue 1 title. However, he has been unable to replicate that form this term and has managed just two goals and five assists in 16 Ligue 1 outings.
Monaco lost a number of key players in the summer, with Kylian Mbappe, Benjamin Mendy, Bernardo Silva and Tiemoue Bakayoko all departing. While the club did manage to keep hold of Lemar, they may find it difficult if clubs come calling once again, particularly if he impresses for France at the 2018 FIFA World Cup.
Meanwhile, Juventus sent representatives to watch Can during Liverpool's draw with Tottenham Hotspur on Sunday and "have made him a huge offer to move to Serie A in the summer," per the Mirror's John Cross.
The 24-year-old is in the final months of his contract at Anfield and can therefore sign a pre-contract with a foreign club. However, Liverpool have not given up hope he might decide to stay and will extend his deal.
The Germany international has spoken about his future but given little away, per Turkish Football's Emre Sarigul:
Juventus general manager Giuseppe Marotta has said his club "will make every possible effort" to land the Liverpool midfielder, per RMC (h/t ESPN FC).
The Serie A giants appear determined to land Can, and his refusal to sign a new deal at Liverpool suggests he could well depart the club this summer.