Celtic claim a fee was agreed with Manchester City for John Guidetti prior to them taking the striker on loan.
Xabi Alonso claims no Premier League offers were put to him before leaving Real Madrid for Bayern Munich.
The 21-year-old Denmark international is one of Europe's hottest prospects but he is out of contract in just over a year and it is expected numerous clubs will make a move this summer.
Liverpool have closely monitored the youngster's progress over the last couple of years and Overmars is well aware of their interest.
"We have the list of the scouts of foreign clubs who have been here recently and Liverpool has been a regular visitor," he told Dutch newspaper De Telegraaf.
Reds manager Brendan Rodgers is looking to add three or four players in the summer transfer window as he tries to improve the depth of his squad.
His priority is a centre-back to replace the retiring Jamie Carragher with speculation linking Rodgers with a return to his former club Swansea for Wales captain Ashley Williams.
Rodgers is also expected to make a renewed attempt to bring Blackpool winger Tom Ince back to the club after negotiations hit an impasse in early January.