Adebayor, who scored his side's away goal in a 4-1 defeat in the second leg that saw them scrape through to the quarter-finals, was allegedly subjected to monkey chants and plastic bananas were waved in one section of the half-empty stadium.
"It's very easy to hear the chanting so I'm sure UEFA will act on it," Tottenham manager Andre Villas-Boas told reporters after Thursday's match, when the London side went through after a 4-4 aggregrate scoreline.
The latest racism incident follows last month's Milan derby in which former Inter striker Mario Balotelli was racially abused by fans, leading to Inter being fined 50,000 euros.
"Songs against other teams don't get us going. Fans should concentrate on their own team, that's the best and gives us something extra," Conte told a news conference ahead of the Serie A leaders' match at Bologna on Saturday.
"I read about bans and I don't want songs like that to have us playing behind closed doors. We should do something so that from now until the end of the season it doesn't happen again."
Juve fans were accused of singing racist chants about AC Milan's Italy forward Balotelli last weekend.
Serie A decided the chants of "if you jump up and down Balotelli will die" were not of a discriminatory nature but were still offensive and fined the Turin club 4,000 euros.
Juve had to play a game behind closed doors in 2009 after Balotelli, then with Inter Milan, was racially abused from the stands with the chant "a black Italian does not exist".
