Chevakata brushed aside Lavezzini Basket 88-72 on Thursday to win their EuroCup Women Eighth-Finals tie 169-135 on aggregate.
Also entering the Quarter-Finals were CB Feve San Jose, and Cras Basket Taranto and ZKK Hemofarm Vrsac.
Going into their home game with a big advantage from the first leg, Chevakata cruised to a 38-30 lead at half-time and pulled away in the third quarter for a decisive victory.
Nakia Sanford had 18 points and 12 rebounds for Chevakata while Daliborka Vilipic had a game-high 24 in defeat for the Italians.
Tarbes GB lost their first leg at Cras Basket Taranto by nine points but returned to France determined to overturn that deficit.
Six minutes into the second half and Tarbes led 49-33 for a seven-point advantage on aggregate.
Taranto outscored Tarbes 15-2 over the next four minutes to trail 51-48 and the Italian team's progression was never in doubt the rest of the way.
Suzy Batkovic had 20 points and seven rebounds for Taranto.
CB Feve San Jose did just enough to win their all-Spanish showdown with Ibiza - PDV.
San Jose entered the second leg with a four-point lead and won 72-70 for a 132-126 triumph on aggregate.
The visitors were in danger of bowing out of the competition when they trailed 70-64 with 3:21 to go but they outscored Ibiza 8-0 the rest of the way.
Eshaya Murphy scored 16 points while Maria Revuelto and Kim Butler each had 13 for San Jose.
Dexia W Namur beat ZKK Hemofarm Vrsac 79-70 but that wasn't enough to knock the Serbian side out.
Hemofarm had won the first game 77-66 and ended up prevailing 147-135 on aggregate.
Krystyna Szymanska-Lara poured in 19 points for Dexia and Ivan Dojcinovic scored 14 for Hemofarm.