And while the 26-year-old is happy at Stamford Bridge, the report claims a move to the Nou Camp would improve his chances of going to the 2018 Russia World Cup with Spain.
Alonso is yet to make an appearance for the Spain national team but playing for the La Liga leaders would help him stake a claim in Julen Lopetegui’s side, Mundo Deportivo suggest.
The Spaniard is under contract with Chelsea until 2021.
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