Spain's top marksman is rumoured to have had a bust-up with Lionel Messi, and the Reds have made contact with Villa's agent to gauge initial interest in a move to Anfield, reports the country's premier radio station Cadena SER.
Despite the success of Luis Suarez, Kenny Dalglish's men have struggled for firepower since losing Fernando Torres to Chelsea, with ?35million Andy Carroll having scored just five times since his move from Newcastle in January.
On the move? Barcelona striker David Villa (second right) is wanted at Liverpool
It would surely take a blockbuster bid to prise Villa, who has an incredible international scoring record of 50 goals in 80 games, away from the Nou Camp but Anfield owner John W Henry has proved in the past he is not afraid to spend big by financing the Suarez and Carroll deals and Liverpool's summer spending spree.
Villa enjoyed a dream debut season at Barca after joining from Valencia in 2010, scoring in the Champions League final win over Manchester United, but has failed to hit the heights so far this term. The striker has just three La Liga goals in 11 games.
Rift rumours: Pep Guardiola has denied that Lionel Messi has fallen out with Villa
But Barcelona boss Pep Guardiola has denied that Villa and Messi have fallen out. He said: 'It is impossible to be an enemy of David, he is too nice a person.
'He is generous both in the way he plays football and also in his personal life. It is impossible not to get on well with him.'
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