The win came thanks to goals from winger Darwin Machis and veteran Jorge Molina, and means that Granada has won all four of its opening games this season, with two wins in La Liga and two in its first ever appearance in European competition.
The goal came from Wolves' first shot on target, but suddenly they were on the back foot before a late deflected effort from Gabriel Jesus sealed the points deep into injury time.
The match was played behind closed doors at Bloomfield Stadium in Jaffa, the southern part of the coastal city of Tel Aviv-Jaffa.
The victory in Budapest over Sevilla has increased the pressure on sports director Hasan Salihamidzic to deliver convincing answers as it seems apparent Bayern's current squad size is too small.
Beer Sheva's Dutch forward Elton Acolatse completed the scoring in the 83rd minute from Sintyahu Sallalich's assist.
Brazil will meet Bolivia in Sao Paulo on October 9 and Peru in Lima four days later.
It took the Argentinian giants until the 87th minute to break the deadlock at the Atanasio Girardot stadium as former Atletico Madrid winger Eduardo Salvio struck his fifth goal of the campaign.
Bruno Labbadia's men gained momentum but Frankfurt stood firm and protected its lead until the final whistle.
MADRID, Sept 24 (Xinhua) -- Chinese owned La Liga outfit Granada look to keep their dreams of qualifying for the group stage of the Europa League alive on Thursday when they entertain Lokomotiv Tiflis in the third qualifying round of the competition.
Arrascaeta doubled the visitors lead by holding his ground while under pressure from Damian Diaz and then nonchalantly lofting a shot over Burrai that went in off the underside of the crossbar.
In other matches on Wednesday, Caracas secured a 2-1 home victory over Libertad, Defensa y Justicia won 2-1 at home to Olimpia and America de Cali were held to a 1-1 draw by Universidad Catolica. Enditem