A disappointing 2018-19 season saw Madrid out of contention in La Liga, Champions League and Copa del Rey by March, leading to the return of Zinedine Zidane as coach - which is likely to mean significant changes in the summer.
Chelsea playmaker Eden Hazard has said he will make a decision on his Chelsea future at the end of the season - and that it would be "hard" for the club to miss out on Champions League football for a second year running.
He also wants the Frenchman to be one of the top three best-paid players in the Real Madrid squad. Obviously they will be careful.
Asked if it would be in the back of their opponents" minds, he replied: "Yes, for sure, because they will have seen what happened against PSG.
Jurgen Klopp braced for 'intense' second leg against Porto
Two-nil is a really, really good result, I would probably have taken that before the game and I'll take it now. Together with Hendo there that was brilliant.
Solskjaer believes they need to win five of their remaining six league games to qualify through the domestic route.
Belgium global Hazard will only have a year remaining on his contract at the end of 2018-19, but Chelsea may not be able to replace him due to a two-window transfer ban, against which the club have appealed.
"The chances that we get, we have to put them in". If he comes to Madrid he would be welcomed very well - we know he is a great player. We did it once, maybe twice, and we still believe.
Do you have an inspirational story you would like us to publish? But now the most important thing is this weekend (at home to West Ham), so we're going to focus on that'.