Both clubs are in need of a central defender and they too are pursuing Van Dijk, but Liverpool seem to have stolen the march on the two of them.
It is a far cry from the 8th-placed finish they secured last term, and not to forget the League Cup final they reached, in which a late Zlatan Ibrahimovic header broke Saints' hearts against Manchester United.
The signing of van Dijk would see Manchester City solve their primary problem at the moment, hence making them a force to reckon with in Europe's top leagues. The record is now held by City defender Kyle Walker, who joined in the summer for 52 million pounds.
The Mirror believe that three clubs are interested in signing van Dijk, which strengthens the Saints' belief that they can recoup a figure of that size.
'I have to decide what's best for the team and around Virgil there has been a lot of speculation, ' he said after the 5-2 loss.More news: Rajinikanth to announce political standpoint on December 31
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Without Van Dijk, Southampton were thrashed by a rampant Tottenham and a section of travelling fans at Wembley chanted "you're getting sacked in the morning" at Pellegrino.
Southampton legend Matthew Le Tissier has indicated that Liverpool will be wary of Manchester City in their transfer chase for Virgil van Dijk.
'The manager decides what is the best.
We all appreciate that Southampton's valuation of their Dutch centre-back is ridiculous, but the oil-rich owners who have taken over the Premier League have changed price structure of the transfer market and we have to accept where we are now. We have to wait until January.
As potential transfers go, Van Dijk moving to Liverpool is a pretty good gamble to takea chance reporting as an agreed deal, but it doesn't look like everything is agreed with Southampton or the player yet. The board made a decision to try to keep our best player at the club.