It's been a week since Liverpool expressed their intention to trigger Dominik Szoboszlai's release clause.
That accelerated the RB Leipzig star's move to Anfield and he was unveiled as the club's second summer signing on Sunday. It remains to be seen whether Liverpool will move for a third signing in the summer transfer window, however.
But while interest has either cooled or ended in the likes of Khephren Thuram, Ryan Gravenberch and Gabri Veiga, the speculation continues and the Reds do remain interested in Levi Colwill and Romeo Lavia.
And below is a round-up of the latest transfer gossip concerning Jurgen Klopp's men.
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Kylian Mbappe
The future of Kylian Mbappe remains under a cloud of doubt as he enters the final year of his contract at Paris Saint-Germain. With speculation rife surrounding the striker, Liverpool are typically a name uttered with his future following their interest prior to his move to the French capital - and last summer before he signed a new contract with PSG.
The Independent have reported that Real Madrid are intent on holding off their interest in Mbappe so they can land him on a free transfer in 12 months time. It comes despite PSG expressing their preference to off-load the Ligue 1 Golden Boot winner for the last five years this summer in order to pocket a fee.
PSG supremo Nasser Al Khelaifi admitted that he cannot allow their prized possession to leave for free but the report states that Madrid do not want to hand over a penny to the French champions.
A move from Liverpool, it has been reported, is beyond the club's transfer plans. But it has been suggested that Arsenal would be Mbappe's preferred Premier League option, regardless.
Khephren Thuram
The ECHO reported this week that Liverpool's long-standing interest in Khephren Thuram remains unchanged at this stage as those in the recruitment department decide on the next course of action following the arrival of Szoboszlai.
But speaking on the Here We Go podcast, Fabrizio Romano says Liverpool have been deterred by the price-tag dubbed by OGC Nice for the France midfielder.
He said: "At the moment Khephren Thuram situation is cold because he’s considered too expensive. Not just with Nice but also on the salary side. So, at the moment it’s a complicated one but the player has always been appreciated."
Layton Stewart
Young Liverpool attacker Layton Stewart is reportedly a loan target for Barnsley, Blackpool and Northampton, according to Football Insider.
The 20-year-old returned to action last season after a lengthy spell on the sidelines with a knee injury. Now the outlet are claiming that the Football League trio are looking to provide the Liverpudlian with his first continued taste of senior men's football.
It has been said that the Reds feel a loan move would be the best option for Stewart's development, as per the news site.