Spanish media has reported that Solari, 42, is to be relieved of his duties
The Argentine midfielder signed a new four-year deal with Real Madrid.
Former player and reserve team boss Santiago Solari has been put in caretaker charge after negotiations between the club and former Chelsea, Italy and Juventus boss Antonio Conte broke down on Monday, the club added.
Karim Benzema scored twice after the interval with a penalty and a header from a corner to give Santiago Solari's side a 3-1 lead, after Raphael Varane struck in the 34th minute to cancel out Anuar Tuhami's goal for Valladolid five minutes earlier.
Karim Benzema gave the European champions the lead in the 20th minute with an irresistible piece of control and finish after a pinpoint pass from Luka Modric.
Here are five talking points from the weekend's action in Spain.
News of all that's transpired on and off the football field
Real Madrid needed a last-gasp equaliser from Santiago Solari and an extra-time goal from Raul to clinch a 4-3 victory away to second division Leganes.
'We are not hiding. We the players are primarily responsible and I, as captain, more than anyone'
Barca feel familiar February blues as tiredness sets in
IMAGES from La Liga matches played on Sunday
News of all that's transpired on and off the football field
La Liga leaders Barcelona hit two goals in the final three minutes to earn a 3-2 win at Rayo Vallecano
Atletico Madrid crashed out of the Copa del Rey to Girona on Wednesday following a highly entertaining 3-3 draw at home to the Catalan side, who sneaked through to the quarter-finals on away goals after the tie finished 4-4 on aggregate.
Karim Benzema scored his sixth goal in four games as Real Madrid beat Alaves 3-0 on Sunday for a fourth successive La Liga victory which took the European champions to within eight points of leaders Barcelona.
Zinedine Zidane has been reappointed as Real Madrid coach nine months after resigning, replacing Argentine Santiago Solari.
News of all that's transpired on and off the football field
La Liga leaders Barcelona earned a narrow 1-0 win over Real Valladolid to move seven points clear at the top, while Real Madrid lost 2-1 at home against Girona to fall to third behind Atletico Madrid.
Midfielder Dani Ceballos added: "It looks like us changing our coach worked. We have recovered some sensations we had lost and we have got the three points. Now our objective is to win all the games left and finish the season as well as possible."
La Liga leaders Barcelona moved 10 points clear with a 4-1 win at Real Betis on Sunday after second place Atletico Madrid slipped up at Athletic Bilbao on Saturday in a 2-0 defeat.
Portugal international Goncalo Guedes fired Valencia into the lead in the 35th minute with a thumping shot from inside the area which was too powerful for Madrid goalkeeper Keylor Navas.
Griezmann special earns Atletico 1-1 draw at Sevilla
An insatiable Lionel Messi scored for the eighth game in a row in all competitions as La Liga champions Barcelona saw off a gutsy Girona side 2-0 to go five points clear at the top of the standings.
A round-up of Saturday's action in La Liga, Ligue 1 and Serie A.
News of all that's transpired on and off the football field
Real Madrid lifted the FIFA Club World Cup for a record fourth time on Saturday after thrashing local side Al Ain 4-1 in the final in Abu Dhabi with the help of impressive distance strikes in either half from midfielders Luka Modric and Marcos Llorente.
A summary of Wednesday night's matches inthe UEFA Champions League.