Rooney is Manchester United's all-time leading scorer with 253 goals and he could make return to the Goodison Park after a 13-year spell at Manchester United.
Mourinho said after the Europa League final in May that the 31-year-old is a "very important player" for the club.
The United captain had a year left on his current £300,000 a week deal, but the move to Everton will be all about getting more playing time under his belt.
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Rooney began his career at Goodison Park before joining United for £27m in August 2004.
The England worldwide has a year left on his contract at Manchester United, but has seen his playing opportunities limited under manager Jose Mourinho.
Jose Mourinho told Rooney that he was no longer a first-choice ahead of the January window, opening up the prospect of a lucrative move to China.
Wayne Rooney may be prepared to leave Manchester United this summer, but it seems that he will be staying in the Premier League for the time being.
Fed Minutes Will Be Parsed for News on Balance Sheet Plans
Job gains had moderated but had been solid, on average, since the beginning of the year, and the unemployment rate had declined. Washington political gridlock is also starting to creep into the outlook of the Fed's business contacts, the minutes showed.
Previous year he surpassed Bonny Charlton to become United's record scorer with 253 goals.
According to The Sun, Everton are set to land Rooney in the near future - with Ronald Koeman keen to link up with the England worldwide.
The club made official the signing of Lyon forward Alexandre Lacazette.
Nokia 6 in Copper arrives in the United States on August 18
The retailer is selling unlocked version of Nokia 6 which means the phone will only support GSM networks like AT&T and T-Mobile. The Nokia 6 has a 5.5-inch 1080p screen, a Snapdragon 430 chipset (just like the Nokia 5 ) and up to 4GB of RAM.