Mina will join Everton on a permanent deal for a fee in the region of £27m, having attracted interest from Manchester United and Lyon earlier in the window.
Colombia defender Mina, who impressed in the World Cup, could eventually cost €31.75million, while Gomes arrives on a season-long loan.
As the 25-year-old finalised his move to Merseyside, Everton also sealed the captures of Barcelona duo Mina and Gomes on Thursday afternoon.
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Mina, for whom Barca have retained a buy-back option, said the chance to play alongside Gomes and Lucas Digne - who made the same switch last week - played a part in his decision to join Marco Silva's men.
Everton had a dramatic end to the window, wrapping up deals for Bernard - the Brazil global who arrived on a free from Shakthar Donetsk - and Andre Gomes, the Portuguese midfielder who had also been at Barcelona.
The free signing of Brazilian midfielder Bernard was confirmed after a work permit was granted.
One of Mina's goals in Russian Federation was against Everton's England goalkeeper Jordan Pickford to send a dramatic last 16 tie into extra-time.
He said: "I chose Everton because of all the things I had heard about Marco Silva and after speaking to him I was happy with what he said to me".
'I know about Everton's players and I look forward to being able to play with my new team.
"I have watched the Premier League for a long time".
Mina has signed on a permanent five-year deal worth €30million (approx £27.2million), while Portugal global Gomes has arrived at Goodison on a one-season loan.
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'They are historically among the four most successful clubs in England and when I found out about the club and what the manager wanted from me, I was happy.
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The Uruguayan defender would be an alternative to linked names Toby Alderweireld , Jerome Boateng and Harry Maguire . And BBC Sport journalist Stone has now revealed that the Red Devils were always wary of bidding for the 32-year-old.
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Then you need to change your mind and think about the team and the collective. "I am not anxious , not sad, I am so happy". If we are happy with our squad and can not improve our squad, sometimes it's better to keep our squad together.
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