It's emerged Manchester United have failed with an offer for the attacker in recent days.
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Currently with Spain at the Euros, Fermin said of new contract talks: "I hope it can happen. For me, Barça is the dream I have had since I was a child and now I can make it come true.
"I hope to be able to stay with Barça for many years."
On new coach Hansi Flick, he added: "Personally I haven't met him yet. From some teams I've seen, I think he's a great coach and I'm sure he will help us win some titles this year."