Argentina international Martinez has been at Villa Park since 2020. He has helped the Villans to secure a top-four finish in the Premier League, allowing them to grace the Champions League in 2024-25.
Lunin is tied to a contract through to 2030, but the 26-year-old could be lured to England with the promise of regular game time if Martinez were to leave the West Midlands and a suitable offer be tabled by the ambitious Villans.