Which is the difference between "player" and "gamer"?

Here in italy I have always used the two words without considering some differences. Could anyone explain them to me? Thank you and happy holydays to everyone!

Gamer = A person who plays games

Player = Someone within a game ( Such as Player 1, Player 2 etc.)

That's my view atleast

Player: Someone who has sex with many different females.

Gamer: Someone who plays a lot of video games, and usually has about zero sex with females.

@huggybear1020: Lol, thats what I was thinking.

Google it

This.

Though when in a multiplayer game, you might have "player 1","player 2", etc.