The Prime Minister and Culture Secretary Jeremy Hunt are to hold a "round table discussion" with the sport's authorities and players' representatives, according to the Sunday Telegraph.
The event, scheduled for later this month, comes amid growing fears that high-profile incidents are harming the image of the game in England.
A fresh spat broke out on Saturday after Liverpool forward Luis Suarez refused to shake hands with Manchester United's Patrice Evra before the teams' match.
Suarez has only recently returned to action for Liverpool following an eight-match ban for racially abusing Evra during a game in October.
At a charity reception last month, Mr Cameron said many people had been "concerned by recent events" in the sport.
"My message is clear: we will not tolerate racism in Britain. It has absolutely no place in our society and where it exists, we will kick it out," he said.
"Our football governing bodies, clubs and footballers themselves have a vital role to play as role models in this respect."
A source at the Premier League told the newspaper the talks at Number 10 were expected to be "constructive and positive".
Taylor wants FA to intervene
PFA chief executive Gordon Taylor has branded Luis Suarez's conduct at Old Trafford as "disrespectful, inappropriate and embarrassing".
Suarez has found himself in the spotlight again after refusing to shake Patrice Evra's hand before Liverpool's 2-1 defeat to Manchester United.
The Reds striker was making his first start since he completed an eight-match ban for racially abusing Evra in the reverse fixture at Anfield in October.
Although it had been claimed earlier in the week that Suarez would shake Evra's hand, the fact he did not meant the entire issue will now bubble on, with the United skipper clearly annoyed and Sir Alex Ferguson so incensed he branded the Uruguayan "a disgrace" immediately after the game.
And Taylor, who has worked tirelessly to stamp out racism within the game, feels it is time for the Football Association to step in.
"What Suarez did was disrespectful, inappropriate and embarrassing," he said.
"If anything, Patrice Evra was the victim and he was prepared to put his hand out.
"These players are expected to be role models but if we have a situation where nobody accepts the findings of hearings and just carries on regardless, all you get is anarchy.
"Now the Football Association have to step in because the whole situation has gone too far.
"Suarez had a chance to put everything to be yesterday, in front of a worldwide audience.
"The fact that he chose not to is, quite frankly, depressing."