The fullback is on-loan at La Real from Atletico Madrid.
The 29-year-old has managed to play 17 matches for Real Sociedad, 16 of which from the start.
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Now Galn hints that he wants to stay permanently.
"I am happy here at Real Sociedad, but continuing is not entirely up to me. We will talk this summer," he told AS.
Galn's contract with Atletico runs until the summer of 2026.