The Reds were knocked out at the round of 16 at Anfield on penalties by PSG.
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And in the aftermath, Van Dijk was seen speaking with Al-Khelaifi and sports director Luis Campos.
The Dutchman is off contract at the end of the season and so is free to negotiate pre-contract terms with any foreign club - including PSG.
For their part, Liverpool are trying to open talks with Van Dijk about a new deal, though the veteran has so far been reluctant.
Watch below:
