Madrid-based radio station Cadena Cope claim that the pair's relationship is now "broken" following their altercation over the weekend, where Los Blancos suffered a shocking 3-0 defeat against SD Eibar.
"And in the second half, we played very well, played the ball like we normally do".
Since Solari was named as interim manager on October 29 - he took over permanently two weeks later - Isco has played just 78 minutes of football.
And Marcelo said: "Every player wants to play, but you have to work hard". "That's how I felt when I played".
"We all have to protect him against this kind of journalism".
The club are keen to continue their romance with the Champions League, a competition they have won four out of the last five seasons.
"Playing Llorente was a decision I made", Solari added.
The Spanish side remains a huge force in the Champions league despite submission in some quarters that the exit of Cristiano Ronaldo may have affected the fortune of the club. "We all know the type of player Isco is".
This victory gives us a little breathing room.
Real Madrid beat Roma 3-0 on September 19 in the teams' most recent meeting, but a lot has changed since then. Real Madrid had 12 shots, seven on frame.
Real Madrid had a couple of half-chances of their own late in the first period, but Olsen kept out a strike from Toni Kroos, before Modric missed the crossbar from distance.
"That is football, it can be frustrating sometimes when things are not quite coming off".