Real Madrid have equalled the 34-game club record of matches unbeaten with a 2-2 draw against Borussia Dortmund in the Champions League.
However, that result was not enough for Zinedine Zidane's side to qualify for the knockout stages of the competition as winners of Group F ahead of their German opponents.
Los Blancos looked to be in full control of the game thanks to a Karim Benzema brace but Pierre-Emerick Aubameyang and Marco Reus scored to earn a point for the Bundesliga side.
Zidane's Madrid could now break the record if they come through Saturday's La Liga game against Deportivo La Coruna at the Bernabeu.
Their last defeat was 2-0 at Wolfsburg in the Champions League on April 6 last season and since then they have recorded 24 victories and nine draws in all competitions, while scoring 94 goals and conceding just 31.
The record of 34 games unbeaten was set by Leo Beenhakker during the 1988-89 campaign when they won the Primera Division title, only losing once in 38 games
Zidane's side broke Carlo Ancelotti's record of 32 games unbeaten with a 6-1 Copa del Rey win against Cultural Leonesa earler this month.
However, the Primera Division record for matches unbeaten is held by Barcelona (39 games), set during the 2015-16 campaign, while Juventus hold the European record for their unbeaten run of 43 matches when current Chelsea manager Antonio Conte was in charge back in 2011-12.