Former Sevilla, Arsenal and Atletico Madrid player Reyes died in the accident at the age of 35 on Saturday.
The crowd at Atletico's Wanda Metropolitano — made up of Tottenham Hotspur and Liverpool fans ahead of the final — stood as one to applaud Reyes in a fitting tribute.
"UEFA and European football are deeply saddened by the terrible news that Jose Antonio Reyes has passed away and I would like to express my sincerest condolences to his family and loved ones for their loss," UEFA President Aleksander Ceferin said.
"He had a glittering career and won numerous honours wherever he played and I am shocked and saddened that his life has been so tragically cut short."
Reyes signed for second-tier Spanish club Extremadura in January, and the Royal Spanish Football Federation has confirmed seven of Monday's (AEST) planned Segunda Division fixtures have been postponed as a result of his death.