Pereira spent last season on loan at Lazio having continued to struggle for games at Old Trafford.
According to Fabrizio Romano, Everton are among several looking to take the Belgian-born, Brazil international on loan.
But United are understood to be prioritising a permanent deal for the unsettled playmaker.
Pereira, 25, moved to Old Trafford in 2015, but has struggled to cement a place in the first team.
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