That saying come

She sent me a message that saying come.

Doubt it was written by a native speaker. It seems to mix two options:

"She sent a message that I should come."
"She sent a message saying to come."
"She sent a message saying that I should come."

I think, she sent a message saying to come is close to what I meant.

A more natural version is:
She sent me a message asking / telling me to come.
She sent him a message asking / telling him to come.

Usually you don't "say a person to come", but "ask a person to come" or "tell a person to come"

AlpheccaStarsA more natural version is:
She sent me a message asking / telling me to come.
She sent him a message asking / telling him to come.

Usually you don't "say a person to come", but "ask a person to come" or "tell a person to come"

Hi, A

The phrase "saying to come" is grammatically OK and is understandable, but I would not use it.
Instead, I would use:

telling (indirect object) to come
asking (indirect object) to come
ordering... etc.

AlpheccaStarsUsually you don't "say a person to come", but "ask a person to come" or "tell a person to come"

Sounds fine to me (London native).

Hey, Huevos, where ya been??

I've been sunning myself but now it's June it's too hot for that so I'm back to the forum.

Welcome.[Y]

HuevosUsually you don't "say a person to come" (A. Stars) -- Sounds fine to me (London native).

I don't believe it! People in London don't say "Laura said Frank to come"! Are you sure you hear this in London?