An independent report found Uefa bears “primary responsibility” for chaotic scenes that “almost led to disaster” outside the Stade de France in Paris.
The club want Uefa to “rectify and assume full responsibility”.
Uefa told BBC Sport the compensation scheme was “fair and accurately reflects the relative problems faced by fans on the night”.
On Tuesday, European football’s governing body announced it would refund fans who had tickets for the final, which was played between Madrid and Liverpool on 28 May, in specific areas of the stadium.
Liverpool fans were penned in and tear gassed outside as kick-off was delayed by 36 minutes.
The report, commissioned by Uefa and released last month, said it was “remarkable no one lost their life”.
Which fans will get a refund & what have Real Madrid and Uefa said?
Real Madrid, in a response released on Thursday, said all ticket holders at the Stade de France should be compensated.
“All the fans experienced an unacceptable delay in the start of the match,” the Spanish club said.
“In addition, there was unacceptable insecurity both in accessing and leaving the stadium, as well as additional harm such as theft, assaults and threats.”
Uefa plans to give refunds to those fans who:
- had tickets for gates A, B, C, X, Y and Z at the Stade de France – the area where many Liverpool supporters were bottle-necked and faced overcrowding issues
- who did not enter the stadium before the match was supposed to kick-off (21:00 local time), according to the stadium’s access control data
- who were not able to enter the stadium at all
- who purchased accessibility tickets.
“Unfortunately we consider the Uefa proposal insufficient,” they said.
“Whether being able to access the stadium or not, or having done so at the scheduled time, which in any case was due to the exceptional behaviour of the fans of the two clubs, the reality is that all the fans suffered.
It added the Spanish club were the “only party which did not co-operate” with the independent review.