Celta Vigo great Iago Aspas netted the winner as his team qualified for the Europa League for the first time since 2017 with a 2-1 win at Getafe on Saturday in their final match to finish seventh.
Rayo Vallecano, eighth, also qualified for the Conference League with a 0-0 draw against Mallorca to return to continental competition for the first time since 2001.
Osasuna, ninth missed out on Europe with a worse head-to-head than Rayo as they were held to a 1-1 draw by Alaves – who knocked Rayo out of the 2001-2001 Uefa Cup.
Elsewhere Leganes were relegated from LaLiga on Saturday despite a 3-0 win over Valladolid, as Espanyol beat Las Palmas 2-0 to survive, in their final league matches.
Javi Hernandez, Yan Diomande and Juan Cruz all scored at Butarque as the Madrid side triumphed against relegated Valladolid, but it was in vain.
Javi Puado's 65th minute penalty and Pere Milla's goal helped the Catalan side stay two points clear of Leganes, locked into 18th place above Las Palmas and Valladolid.
Leganes were promoted last season after relegation from the top tier in 2020, but now return to the second division.