Newly capped French international Blaise Matuidi has expressed his desire to move to a bigger club 'when the time is right' reports skysports.com.
The highly-rated Ligue 1 midfielder recently graduated into Laurent Blanc's national side after a string of fine performances for his club.
Liverpool have long been linked with a move for the combative midfield general, as manager Kenny Dalglish looks to strengthen that department of his Reds squad.
However, talkSPORT now reports that Liverpool may face competition for the Anfield target from Serie A side Genoa who are also said to be courting the player.
At 24, Matuidi feels he has achieved all he can at St Etienne, a club he joined from Troyes in 2007. He now wants to play on a bigger stage, and has targeted a number of Europe's elite clubs as potential destinations.
"We will talk about my future when the time is right," said Matuidi in an interview with French publication L'Equipe.
"I am 24 years old and I haven't experienced the Champions League. I am not old, but I want to play at that level.
"It is important for me and my career that I am able to take part in these great competitions."
Liverpool director of football Damien Comolli had reportedly earmarked Matuidi as a priority transfer target when he first arrived at Anfield last year, but was initially put off by the £11million valuation.
Now with the financial backing of Fenway Sports Group, Dalglish and Comolli could renew their interest in the player, but failure to qualify for Europe's elite competition, the Champions League, could put pay to any potential deal.