That ended Madrid's dominance of the competition that had seen them win the last three titles in a row, while they had also suffered a 1-0 defeat at home to Barcelona just three days before - a result that leaves them 12 points off their rivals at the league's summit.
A report from AS claims the four-time Champions League victor attended an official board of directors' dinner after Real Madrid's 4-1 humbling by Ajax and spoke to Perez as well as other members of Los Blancos' hierarchy.
Solari took charge of Real on a temporary basis at the end of October when Julen Lopetegui was sacked and was then handed a contract until 2021.
After arriving 80 minutes late for his scheduled news conference at Madrid's Valdebebas training ground Saturday, Solari - who ESPN sources understand will be sacked once the club find a replacement - responded cryptically when asked directly if he felt all Madrid's players had been good enough.
"I can not reveal what has been said in private but I will repeat what I said on my first day here, which is that everyone here is just passing through", he added.
"It is an honour to serve this club".
"I'm going to give my best, as I have done since the first day I came here".
"We know it is not the best moment for us after the game the other day but we have a professional obligation, we have 12 games ahead, and we have to stay as positive as possible".
The Portuguese tactician was appointed as the manager of Real Madrid back in 2010 after he led Inter Milan to a historic treble.
As for Los Blancos, they travel to Real Valladolid on Sunday, with the reigning European champions sitting third in the table, five points behind Diego Simeone's men.
"The majority", Solari said.
Solari walked into Wednesday's Champions League game against Ajax with a knife over his head as rumours of a successor for the job have already been doing the rounds.
SpaceX capsule splashes down in Atlantic after ISS mission
It carried approximately 400 pounds of equipment, food and other supplies the astronauts need in order to continue their work. The capsule , which deployed its parachutes to land in the water, was safely retrieved by SpaceX's Go Searcher recovery ship.