Liverpool's chase of Dutch defender Van Dijk was one of the transfer stories of last summer.
Liverpool, Manchester City and Chelsea were all keen on securing his services before the window closed, but were all put off by the £70million asking price.
The Netherlands global was an unused substitute as Chelsea beat Southampton 1-0 at Stamford Bridge in the Premier League on Saturday, thanks to Marcos Alonso's free-kick at the end of the first half.More news: Putin thanks Trump for CIA's help in stopping terror attacks
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He said: 'As you know very well, I don't like to talk about players of the other team.
'But I repeat that I can't control the market right now.
"We have got a lot of players in our club that the other clubs wants to buy or on loan".
Reds owners Fenway Sports Group subsequently assured Southampton that they would not make any further approach for the player unless they were invited to do so by the south coast club, but recent reports have suggested that the Merseyside club will launch a fresh attempt to sign the defender in January. "I can have my opinion and this I have given to the technical director, to the chairman".
"He came in for the first training session and he was that good defensively, I can remember Neil Lennon looking at Garry Parker and saying, "He could play centre midfield". I will recommend to try to keep our best player here at the club. He had a bad (knee) injury, but I think he recovered very well.