Nicolas Tagliafico appeared to have put his side in front after some questionable goalkeeping from Thibaut Courtois, who spilled Matthijs de Ligt's header.
Many players come and go at Real Madrid but very few truly make history at the club.
"The correct decision? I think so", he told reporters. "Not only the goal, which of course was very important for us".
"We knew how to play the game, to work hard, to suffer when we had to, and then to hit back and score when the chances came", Solari said at the postgame news conference in Amsterdam.
Those two games highlighted the question Solari has to resolve in Holland: against Barcelona he played the experienced Marcelo at left back and watched as Barca picked on the Brazilian time and again, exposing his poor positioning and clearly marking him as the weak link in the Madrid defense.
The controversial decision meant Real went in at half-time on level terms with all three goals coming in the second half.
Solari gave Vinicius 90 minutes in his first match in charge, more than Lopetegui had in all 14 of his, AFP reported.
"I'm particularly happy with his goal and his performance", he said of Asensio.
Benzema tested the reflexes of home goalkeeper Andre Onana just after the break, a warning of his threat that was not heeded as he netted on the hour-mark with a rasping finish into the top-corner after Vinicius Jr. picked him out after having been given acres of space in the box. It's a shame that our goal was disallowed.
Real Madrid boss Santiago Solari has paid tribute to Sergio Ramos ahead of the captain making his 600th appearance for the club.