The actor made the offer on Twitter last night, presumably in the wake of rumours that Melania Trump is readying to divorce Donald Trump once and for all. Donald Trump's hosted the show twice, once in 2004 when 'The Apprentice' was on air and again in 2015 when the show was widely criticised for giving him a platform.
We know what you’re thinking.
What you’re feeling.
You are quaking w anticipation.
Shuddering w a strange, newfound courage.
Come. Come over to the light.
We will welcome you as a hero in ways you never imagined possible.
And then do SNL w me.
— ABFoundation (@ABFalecbaldwin) June 23, 2018
Alec Baldwin's made no secret of his utter contempt for Trump, and the feeling's mutual. Trump has repeatedly taken to Twitter to voice his criticisms about Baldwin, so it's not surprising that the actor's using Twitter to make his offer.
Melania Trump has yet to respond.