The Colombia global was also linked with a switch to Manchester United, but he has opted for a move to Goodison Park.
Meanwhile Merseyside rivals Liverpool have sent injury plagued striker Danny Ings on loan to Southampton. Everton will pay 2.6 million euros for the year's loan.
Bernard was out of contract after leaving Ukrainian club Shakhtar Donetsk in June.
The 23-year-old Mina, who was impressive in defence at this year's World Cup in Russian Federation where he also scored three goals, will rejuvenate an ageing Everton back line while offering a threat from set-pieces at the other end of the pitch.
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Everton's new manager wanted two central defenders before the deadline and was hoping to get his wish with a second loan signing, that of Kurt Zouma from Chelsea.
'I chose Everton because of all the things I'd heard about Marco Silva and because Everton is a club with a lot of tradition, ' Bernard told the club's official website.
'That's really why I made the choice - because of the confidence both the manager and the club showed in me'.
This is not an unusual clause, particularly involving clubs from La Liga, but does mean that the Premier League side face the prospect of losing the 23-year-old should the Catalans believe he has considerably improved. This is a great opportunity for me and I am looking forward to competing here.