Their 90-87 victory was achieved despite a nightmare first quarter when they watched Scavolini rattle open up with a 9-0 run and then extend that advantage to 17-2.
Having worked hard to narrow to within five points at 30-25, it looked like any opportunity of a salvage mission might have gone when inspired by 15 points from Michael Hicks Taylor, the visitors finished the first half 40-31 ahead.
Undeterred and eager to try and keep their challenge alive, Buducnost put the shackles on Taylor and managed to tie the game up in the third. A bucket by Marko Simonovic made it all square at 48-48 and the same player then handed his team their first lead of game seconds later.
When Boris Savovic made a triple with just under five minutes to play to seemingly put some daylight between both teams at 74-68 it looked like the rescue of the game was complete. However the Italian team underlined their quality to narrow to within one point with just under a minute remaining.
Buducnost moved 86-81 in front but once again the Italians came back when Sam Van Rossom buried a big three-pointer with 23 seconds remaining to set up a nervy finale.
Thankfully for the home fans, Nikola Otasevic and Goran Jeretin held their nerve from the free-throw line to secure the win.
Eric Williams top scored for Scavolini with 17 points while Jeretin claimed 19 points for the winning side as well as 6 assists.
Luca Dalmonte, Scavolini Pesaro coach:
"The game had two different halves. In first one Buducnost scored only 31 points and in the second half 59! They hit an incredible 9 of 12 from outside in that half. Despite that fact I have to say that we had a very balanced offense. But our defense was not so aggressive. Buducnost took theadvantage thanks to their great percentages and won the game."
Marques Green, Scavolini Pesaro player:
"They played a great game, they played hard and deserved to win. We have to play more aggressive in defense in the next games if we want to achieve better results."