Valer

[poli]

I have come across a situation in which a speaker used válgame
to mean pardon me or excuse me. Do you find this in normal speech?

[Tomisimo]

The only way I've heard válgame used in normal speech in Mexico, is as an expression of mild surprise, similar to well, I'll be.

[chileno]

The complete expression is: !válgame dios!

[CrOtALiTo]

I have come across a situation in which a speaker used válgame
to mean pardon me or excuse me. Do you find this in normal speech?

The word Valgame does not mean pardon or excuse.:)

[AngelicaDeAlquezar]

@Poli: your speaker must have meant something like "oh, my... I'm embarrassed/ashamed. I'm sorry" by only saying "válgame"... very common expression (and one of my favourite ones in daily speech, btw.) :D