An own goal from Fabian Schar and Marco Caneira's strike helped Videoton claim another Europa League upset victory as Basle were left to rue a woeful start in Szekesfehervar.
The Hungarians caused a major upset by sweeping aside Group G favourites Sporting Lisbon three weeks ago and they went ahead as early as the third minute when Schar diverted Alvaro Brachi's cross into his own net.
Caneira's close-range strike half an hour later put the hosts, managed by Paulo Sousa, further in the ascendancy and it was enough for victory, although Schar made slight amends for his earlier mistake with a header that halved the deficit in injury-time.
It proved mere consolation, however, as Videoton remained in second place ahead of their opponents and Sporting.
They came flying out of the traps and scored the first goal with their first attack.
Brachi whipped in a delightful right-wing cross to the front post and defender Schar, under pressure from Nermanja Nikolic, could only miscue past goalkeeper Yann Sommer.
The reigning Swiss league champions were then left reeling when Caneira doubled their lead after 33 minutes, the Portuguese defender turning in Adam Gyurcso's ball into the area.
Basle had an excellent chance to get back into the match when Videoton keeper Mladen Bozovic fumbled Marcelo Diaz's strike in the area but the hosts were able to clear their lines.
Mohamed Salah's effort from just outside the area forced Bozovic into a decent save after the interval while Valentin Stocker missed the target from a similar distance.
The visitors were given a lifeline in added-on time when Schar's bullet header from Fabian Frei's corner rocketed into the net but it proved too little, too late.