Gila, 25, is a left-footed Spanish centre-back who joined Lazio from Real Madrid in 2022 for €11 million and has since established himself as one of the most composed and technically polished defenders in Serie A.
He is under contract with the Biancoceleste until 2027, meaning this summer represents the final realistic window to sell him at a strong price before he enters the final year of his deal.
Milan are planning to add one quality signing to each department this summer as they look to consolidate their Champions League status and compete more consistently for the Serie A title, reports La Gazzetta dello Sport.
Gila fits the defensive profile Massimiliano Allegri values — tactically disciplined, strong in the air, and comfortable carrying the ball out from the back.
The Milan board have identified him as a more affordable and immediately impactful solution than several of the high-profile alternatives on their list, including Kim Min-jae's potential departure from Bayern Munich.
No formal offer has been made and Lazio retain significant leverage given Gila's contract length. Sources suggest Lazio would want a minimum of €30 million — a figure Milan are prepared to approach.