Following the announcement on Tuesday that Gary Neville has taken the reigns at Valencia alongside brother Phil until the end of the season, speculation has been rife with regards to who will step in as permanent manager.
A Spanish insider had told the newspaper: "Many in Valencia believe Mourinho will come here next summer with Neville returning to England."
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Lim has very close ties with super agent Jorge Mendes, who also happens to be the agent of Mourinho and helped the Valencia owner in his bid to take over the La Liga side.
It is widely believed Mourinho would relish the chance to manage in Spain once and again and challenge the likes of Barcelona and Real Madrid, the latter he previously managed, with Valencia an attractive prospect.
However, the Portuguese would only consider a move should his time at Chelsea be cut short, whether it be through his own or the club's prerogative.
Neville, meanwhile, is widely tipped to take over from Roy Hodgson as England manager following next summer's European Championships in France, at which point the 68-year-old's contract with the Three Lions is set to expire.
Neville will, of course, be at the tournament as Hodgson's number two, but appeared delighted by the chance at management.
He said: "I am absolutely thrilled to be given this opportunity with Valencia.
“Valencia are a huge football club — and I know from my time as a player the passion and dedication of the Valencia fans."