However, it is understood they are now back in the hunt after a Premier League investigation excused the Reds of any wrongdoing.
Klopp was asked about the Van Dijk situation on Friday, but was confused as to why he and the club still face criticism.
Kit Harington and Rose Leslie are engaged
It comes after reports that the couple were moving to Manhattan, the island at the heart of the U.S. city of NY . The seven-bedroom pile also has a guest annexe, barns, a pavilion, a tennis court and a croquet lawn.
But Souness says Liverpool should "push the boat out" and "do whatever they need to do" to land him, as they are now not strong enough to "make an impression" in the Premier League and Champions League this term.
In addition, the Times' Paul Joyce claims Jurgen Klopp and the Liverpool hierarchy are still very much interested in the player (despite their public come down) and interestingly will not pursue other centre backs if van Dijk can not be purchased.
The defensive midfielder has never played at Championship level, but he has appeared 11 times in the Premier League and he will be hoping to help Hull make an instant return to the Premier League.
Big hint over Neymar's potential move to PSG, Verratti adds to possibility
I listen to a lot of journalists, and a player like Neymar would be interesting to accompany the project of the PSG. "He is not on the market", Bartomeu told The Associated Press during an interview on Thursday.
"I don't think they've got enough strength in depth to make a real impression in the two big trophies".
Indeed, the Reds issued an embarrassing statement ending their interest in the Dutch defender and apologising to Southampton over their pursuit of the centre-half. If I was manager of Liverpool at this time I would have pushed the boat out and done whatever you had to do to get the boy Van Dijk.
Liverpool initially pursued in-demand Netherlands worldwide Van Dijk, but had to publicly apologise to Southampton after being accused of illegally tapping up the player and officially ended their interest.
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During her time as deputy President, Lady Hale had ruled on many high-profile cases, including the government's Brexit appeal . The nationals are tipping Lady Justice Black , Lord Justice Briggs and Lord Lloyd Jones as the trio of new judicial stars.
Liverpool were heavily linked with a move to sign Van Dijk earlier this summer but pulled out of the race to sign the former Celtic star. "They are good enough to play a good season together and i'm sure we'll concede less goals than we did last season", he added. "But, it may still happen, we don't know".