Reds boss Jurgen Klopp is keen to tighten up a defence that has leaked far too many goals this season, and the duo have emerged as targets after impressing despite a campaign of struggle for the Tigers.
Hull could be relegated this afternoon if they lose to Crystal Palace, but they will struggle to keep hold of both players even if they pull off the great escape.
Klopp has put a new left back high on his wanted list as James Milner has been playing out of position, and Robertson could be the man to step in, while it is also well known that a new central defender is also wanted.
Virgil van Dijk and Michael Keane have both been linked, but Maguire, who is also wanted by Tottenham and Everton, could be an alternative option for the Liverpool boss.
Antonio Conte took the opportunity to compliment a rare talent after Lionel Messi masterminded Barcelona's Champions League defeat of Chelsea.
Wigan boss Paul Cook is happy to be heading into their FA Cup quarter-final with Southampton on the back of a morale-boosting league win.
Arsene Wenger has called on his Arsenal side to put on the sort of displays that will have stay-away fans returning to the Emirates Stadium.
Michael Jacobs struck in stoppage time as Wigan got their League One promotion bid back on track with a 1-0 win at Bradford.
Lionel Messi punished error-prone Chelsea as Barcelona advanced to the Champions League quarter-finals with a 3-0 win at the Nou Camp.
AC Milan boss Gennaro Gattuso believes Jack Wilshere would grace any league in world football.