Benfica's Gianluca Prestianni covered his mouth with his shirt while allegedly abusing Real Madrid’s Vinicius Junior last month in what was one of the biggest stories of the season.
A FIFA Congress is scheduled to take place in Vancouver on April 30th where incidents such as this will be discussed as potential rule changes are suggested.
Speaking to Sky News, Infantino suggested that any player who covers his mouth has something to hide.
"If a player covers his mouth and says something, and this has a racist consequence, then he has to be sent off, obviously.
“There must be a presumption that he has said something he shouldn't have said, otherwise he wouldn't have had to cover his mouth.
“There are situations which we did not foresee. Of course, when you deal with a disciplinary case, you have to analyse the situation, you have to have evidence, but we cannot just be satisfied with that going forward.
"I simply do not understand if you don't have something to hide, you don´t hide your mouth when you say something.”
Sky News report that the plan is for the laws of the game to be strengthened by the International Football Association Board by April, before the start of the World Cup this summer.
Infantino also commented on racism and how governing bodies must tackle such a serious problem.
"You can do things that you don't want to do in a moment of anger (and) apologise, and then the sanction has to be different, to move one step further, and maybe we should think about something like that as well. We have to stop racism. We cannot just be satisfied by saying 'well, it's a problem in society, so we cannot do anything about it except what we are already doing.'"