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Kerkez is understood to have a £50million release clause at the south coast side.
The 21-year-old has attracted attention from several clubs as he continues to impress for Bournemouth in the Premier League this season.
However, Liverpool's ties with Bournemouth, following Richard Hughes' move from the south coast to Merseyside have put the Reds in a strong position to land the Hungary star.
With Liverpool looking to sign a new left-back at the end of the season, Arne Slot has already made his feelings clear over Kerkez.
'Initial contact'
The i Paper report Liverpool have made initial contact with Bournemouth over Kerkez in an attempt to try and get ahead of competition.
The ECHO understands that Liverpool are interested in the player and are also keeping tabs on a number of other potential options ahead of the forthcoming transfer window.
Bournemouth's stance
The south coast side are believed to have made it clear they will not let Kerkez leave for less than £40million, according to reports.
It's claimed that one of the reasons he sees himself at Liverpool is because he would link-up with director of football Hughes, who brought him to the south coast
I have big goals with Bournemouth, we still have a lot of games to win, that's the most important thing right now."
Agent with Liverpool connections
The 21-year-old has recently changed agents, with Fali Ramadani now his representative