Nevezis registered arguably the biggest upset of the season in the Betsafe LKL, shocking Lietuvos Rytas in Kedainiai on Saturday evening to advance to a 2-4 record.
The Valerii Likhodei-led Kedainiai side stayed close throughout the contest and made the decisive move late in the fourth quarter to come out on top 76-73 in a thriller.
A go-ahead three-pointer by Malcolm Grant gave the hosts a 72-70 advantage with 90 seconds left on the clock and their opponents were unable to come up with a timely response to steady the boat.
Chris Kramer had a chance to tie the game with a last second Hail Mary, but his prayer remained unanswered, as the crowd in Kedainiai erupted in celebratory fashion.
Likhodei was the game's leading scorer with 20 points and 7 rebounds, while Grant added 15 points and 5 assists for the winners. Meanwhile, Robert Carter finished with a team-high 14 points for Lietuvos Rytas, who dropped to 6-3.
Elsewhere, Juventus finally got the monkey off their back as they inscribed their first win of the season after downing Vytautas 77-68 in the battle of two winless teams.
The guard duo of Anthony Ireland and Dovis Bickauskis finished the game with 15 points apiece for the Utena side, while sharpshooter Justas Sinica collected 17 on 7-of-18 shooting from the field for their opponents.
The result ended an eight-game losing streak for Juventus and left Vytautas all alone at the bottom of the standings with a 0-8 mark.
In the last game of the day, Neptunas held off a strong challenge from Pieno Zvaigzdes to survive 97-91 in a high-scoring game in Klaipeda and move into third place with a 7-2 record.
For the winners, Mindaugas Girdziunas and Edgaras Zelionis collected 18 points each, while Arturs Ausejs dropped a 32-point effort in a losing effort, equaling a season-high set by Nevezis guard Malcolm Grant last week.
Highlights of Neptunas v Pieno Zvaigzdes: