Alonso, who has been the club's most used outfield player this season, made 42 appearances and logged 3,669 minutes across all competitions, contributing one goal.
His contract is expiring and the club's leadership and technical staff are confident a renewal can be agreed in the coming days, describing the player's attitude in negotiations as encouraging.
The Fer López situation is structurally more complex. The 22-year-old forward, who came through Celta's youth academy before leaving for Wolverhampton, returned to Galicia on loan in January and has since made 22 appearances, scoring two goals across 1,358 minutes.
His permanent contract with Wolves runs until 2030, meaning any extension of his stay in Vigo requires the English club's agreement.
Wolves' relegation from the Premier League significantly improves Celta's hand. A club playing Championship football next season has considerably less need for a forward of López's profile and considerably more reason to reduce wages by facilitating a further loan. Celta are confident the situation can be resolved without a prolonged summer negotiation.
López himself is understood to want to remain in Vigo. He is home, playing regularly and connected to a project that suits his development.
The fact that Wolves paid €23m to Celta for his original transfer gives them leverage, but the commercial logic of keeping him in Galicia rather than paying his wages while he trains in the second division of English football is straightforward.
Both situations are expected to be resolved before the summer transfer window opens, which is the club's stated preference. Celta want to enter the new season with their core squad settled and Iago Aspas — who signed his one-year extension this week — continuing as the focal point of the team's identity.