Muñoz, 29, left KRC Genk for Crystal Palace in January 2024.
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The Colombian has impressed since moving to the London club and this season, Muñoz has one goal and two assists in ten Premier League appearances, and his performances have not gone unnoticed.
According to Mundo Deportivo, Barcelona are now watching wing-back.
The Spanish giants are considering signing a new right-back this summer and Muñoz is one of several names on their shortlist.
However, Manchester City are also showing interest - and Crystal Palace are said to value Muñoz at €30m.