And further arrivals are now expected before the 5pm cut off today for Premier League signings.
Bernard - who has 14 Brazil caps - began his career in his homeland with Atletico Mineiro, before Shakhtar signed him on a five-year deal in the summer of 2013 for £40m.
Everton fans have seen Bernard complete his move to Goodison Park in the last half an hour, and two more players appear to be on the verge of signing for the club.
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All player-agent relationships, however, must be in writing, disclosed to the NCAA and ended when the player comes back to school. Athletes will be allowed more college-paid visits, which can begin as soon as August 1 the summer before their junior year.
Everton will be keen to give Gomes a chance to remind his form, with the talented midfielder left out of the Portugal squad for the World Cup this summer.
And their raid of the Nou Camp may potentially continue with Andre Gomes wanted too.
Speaking to evertontv, Bernard said that the chance to join a "great club with great tradition" was the key driving factor behind his decision to sign for the club, vowing to help "make things happen" alongside former Watford manager Silva. "It's been a long, long saga has the Yerry Mina saga".
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The respected French publication says Everton want Zouma on loan while United are looking at a permanent transfer but Chelsea are reluctant to do business with the Red Devils as they don't want to strengthen a rival.
Usually in cases such as this clubs can approach the Premier League and request more time to complete the deal, if they can provide all the necessary paperwork and prove that the completing the deal is just a matter of dotting i's and crossing t's.
"But certainly it's going to be a very, very busy day here at Finch Farm."
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