Premier League Transfer News June 1 2017: Mourinho Narrows Striker Search as Liverpool, Manchester City Battle Over Monaco Star

Manchester United finds itself at the center of transfer rumors again as June begins and the opening of the summer window draws nearer.

United has rejected a huge bid from Real Madrid for goalkeeper David De Gea worth £60 million, according to Sky Sports News.

De Gea, 26, came to United from Real's rival Atletico Madrid in the summer of 2011 but has been frequently linked with a move to the Santiago Bernabeu stadium.

Sky claims United rejected another offer from Real this week but the Manchester Evening News says there has been no bid and the Spain international is happy to remain at Old Trafford on a contract that runs until 2019.

Away from De Gea, Mourinho continues to work on signing a new striker. According to Italian journalist Gianluca Di Marzio, he has whittled his options down to three targets: A.S. Monaco's Kylian Mbappe, Real's Alvaro Morata and the man who remains the priority, Atletico's Antoine Griezmann.

Liverpool manager Jurgen Klopp, meanwhile, is in need of a new left back. As is Pep Guardiola at Manchester City. Naturally — according to ESPN anyway — both are interested in one of Europe's best in the position this season, Monaco's Benjamin Mendy. Klopp played James Milner out of position at left back for much of last season while Guardiola's City struggled with an ageing Gael Clichy in the same position. The dynamic, attacking Mendy would improve both although City's financial largesse, combined with the presence of Mendy's former Monaco teammate Bernardo Silva at Etihad Stadium, may give it the edge.

If reports are to be believed, City and Liverpool are going to be duking it out all summer over defensive transfer targets. The Times claims City is preparing a vast, £100 million offer for Southampton defender Virgil Van Dijk comprised of a £50 million transfer fee and £180,000 a week in wages, which would almost certainly be enough to end Liverpool's interest in the center back.