Shortly after revealing a 'Free Palestine' banner, a section of the home support began singing "Juden Tottenham" to the fans of the London club, who have a historical Jewish connection.
UEFA would not comment on the matter, saying it would only be able to look in to the issue if it was mentioned in the match delegate's report, which is due to arrive with European football's governing body on Friday. UEFA had fined Lazio £32,500 for their fans monkey chanting at three Spurs players during the reverse fixture in September.
An FA statement read: "We were saddened and alarmed to see reports of violent incidents prior to the game as well as anti-Semitic chants.
"The FA had a crowd control advisor present at the fixture who will provide an urgent report, which we will pass on to UEFA as a matter of priority."
Tottenham manger Andre Villas-Boas has urged UEFA to take action against Lazio if their fans are found guilty.
Villas-Boas hopes UEFA moves swiftly to establish the facts. "It will take another investigation," the Tottenham manager told a press conference. "It happened last time and it was acted upon quickly by UEFA. We will have to wait and see if there is anything to act upon. If there is UEFA have to act."
The game had already been overshadowed before kick-off by the brutal attack on a group of the club's supporters early on Thursday morning. Around 20 men burst in to the Drunken Sailor pub in Campo dei Fiori at around 1am and beat the fans with sticks and glass bottles. One fan is recovering in hospital after being stabbed in the head and leg.
Villas-Boas said: "It is an extremely difficult moment for them. But there is massive disappointment and the fear they've gone through is hard. To point a finger at this point would be incorrect but (we) give them a message of support. As a club, we will try to help them overcome this."
Paul Gascoigne joined the two teams in the stadium for a lap of honour before the game, but the former England star will have been disappointed with the level of play between two of his former clubs.
Tottenham should have taken an early lead when Gareth Bale latched on to Tom Carroll's pass and beat Claudio Marchetti, but the Welshman's shot was wrongly ruled out for offside. Spurs were on the back foot for most of the rest of the game and only escaped with a point thanks to Hugo Lloris' heroics.
The Frenchman saved well three times from Libor Kozak, and Villas-Boas said: "It was important for him and he was a great help for the team. He was decisive in a couple of moments."
The result means Spurs only have to draw their final game against Panathinaikos next month to make the knockout stages of the competition.
"Against Lazio we've had four goals disallowed. Two of them rightly and two of them not, maybe three," Villas-Boas added. "It's difficult to see decisions go that way but we move on. We take the result. We are in a comfortable position to qualify."