The wide-man is a free agent following the end of his contract at Shakhtar Donetsk and his agents have been holding talks with a number of clubs.
Everton were tentatively linked with the diminutive playmaker earlier in the close season, but are now set to bring him to Merseyside.
Marco Silva has fought off the interest of numerous Premier League rivals and European clubs to lure the 26-year-old to Goodison Park.
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In the mean time, the pair have managed to convince Bernard that L4 is the place to play his football from this term onwards.
Bernard's versatility also allows him to play across the forward line and even in a deeper midfield role if necessary.
Bernard burst onto the global scene in the 2014 World Cup although the main reason his worldwide side will be remembered that year will be the 7-1 humiliation at the hands of eventual winners, Germany. Yannick Bolasie and Theo Walcott are quality options for the Toffees as well.
A host of European clubs had been tracking the Brazil worldwide since his previous contract at Shakhtar Donetsk expired earlier this summer.