The defeat relegated second bottom Deportivo, while Mallorca also went down despite winning 4-2 against Valladolid.
Valladolid remained second from bottom despite giving former Spain coach Javier Clemente victory in his first home match.
Ironically, central Spanish side El Salvador, from Valladolid, who have not won a European tie for six years, actually scored first.
Valladolid secured safety with three games to play as a 1-0 win over Deportivo la Coruna left the visitors third from bottom.
Meanwhile, struggling Real Valladolid sacked coach Jose Luis Mendilibar on Monday, making him the seventh managerial casualty of the Spanish top-flight season.
From Valladolid, his bones were moved in 1509 to the Monasterio de la Cartuja, a monastery near Seville that can still be visited today.
Meanwhile, Sevilla's hopes of qualifying for next season's Champions League suffered another blow with a 2-1 defeat at relegation-threatened Valladolid on Tuesday night.
Ipswich flags were also lowered at Portman Road and there was a minute's silence before Friday evening's friendly against Spanish side Real Valladolid.
Osasuna and Real Valladolid played to a 1-1 draw in Pamplona as the home side scrambled a point with an 86th-minute equalizer from Javier Camunas.
Earlier on Saturday, fourth-placed Sevilla bounced back from the midweek defeat at struggling Valladolid to crush Sporting Gijon 3-0, who had two players sent off.
Kilmarnock will head south for some friendly matches against English sides before hosting Valladolid in preparation for their Scottish Premier League opener against champions Rangers.
Brazil striker Fabiano squandered two golden second-half opportunities as Valladolid held on, meaning Valencia can move above Sevilla with victory away to Athletic Bilbao on Sunday.
Third-placed Sevilla again failed to keep pace with the leaders after being held 1-1 at home by mid-table Valladolid, who had a player sent off.
For example, we know where and when Columbus died -- in the northwestern Spanish city of Valladolid, in 1506 -- but there are questions about where his body lies.
Granada suffered a 2-1 home defeat by Mallorca, Espanyol drew 0-0 with Valladolid and Real Sociedad shared a six-goal thriller with Real Betis as it ended 3-3.
Messi has now scored in the last 14 league games to help the Catalans to a 15-point lead over second-place Atletico Madrid who travel to Valladolid on Sunday.
Atletico Madrid sits 11 points adrift in second following a 1-1 draw at Mallorca, while Celta Vigo eased its relegation worries with a 3-1 win over Real Valladolid.
Villarreal won 2-1 at home to Malaga, Valladolid moved away from the relegation zone with a 4-0 win over visiting Deportivo La Coruna and Getafe beat Athletic Bilbao 2-0.
Real Sociedad claimed fourth place with a 4-1 win at home to Valladolid, while Valencia moved up to seventh with a 3-0 victory over fellow European hopefuls Real Betis.
Levante earlier won 2-1 at home to midtable Valladolid thanks to a 90th-minute own goal from Serbian defender Antonio Rukavina, which put "Los Granotes" behind their Valencian rivals on goal difference.
Reserve-team coach Onesimo Sanchez takes over a team who have won just three times in the last 31 league outings, with the announcement made as Valladolid unveiled new loan signing Asier del Horno.
Visitors to Valladolid, located north of Madrid, can follow a route through the city that is dedicated to sites associated with Cipriano Salcedo, a 16th-century merchant who was swept up in the fires of the Inquisition.
The 25-year-old Spain international could be out for up to a month, Barcelona's Web site reported on Tuesday, meaning he may not be fit to return until the club's final domestic league match against Real Valladolid on May 16.
As they move among the remnants of Valladolid's former royal splendor, tourists can consider how Spain might have developed had the Counter-Reformation not been so successful in suppressing the nascent Protestant heresy--or what might have happened had there been more men like Salcedo.
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