Despite being back to winning ways under Solari, Madrid midfielder Toni Kroos sent out a very unusual tweet after the match.
While Solari does have four games to prove himself to the Real Madrid board, the club continues to look for other top managers to take Lopetegui's empty seat.
But this was a game in which Real Madrid rode their luck at times, demonstrated by the sight of Real Valladolid striking the crossbar twice in the second half.
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With 222 points, Roaring Lion now holds a clear lead in both the Cartier Horse of the Year and Cartier 3-year-old colt categories. After his maiden win at Del Mar, he went on to take the Grade I Del Mar Futurity and Grade I American Pharoah at Santa Anita.
Madrid are sixth in the LaLiga table, seven points behind rivals and leaders Barcelona.
Maybe it's the way that someone can read into it, but the 28-year-old German doesn't seem to be overwhelmed at the fact that Madrid have picked up their first league win since a 1-0 victory over Espanyol in September.
"I told him to be bold and to take people on, which is what he knows how to do", Solari explained.
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Caretaker boss Santiago Solari is an increasingly likely option for the full-time job after picking up two wins out of two, while Belgium boss Roberto Martinez, former Monaco head coach Leonardo Jardim, Rui Faria, and Guti all remain in the frame. "With results people will start to trust us again".
Not even usual favourite Marco Asensio escaped the howls of unhappy supporters when he made way for Vinicius, who had barely played under Solari's predecessor Julen Lopetegui.
The goal was harsh on Valladolid and sucked the life out of the visitors, whose defender Nacho gave away a clumsy penalty by falling into Benzema and Ramos cooly converted from the spot, transforming the earlier boos into relieved celebrations.
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"We needed to win, and you don't get out of tough moments like the one we are in by winning easily", Solari said of the scrappy nature of the victory.