The latest chapter in the spat between the pair comes as Trump declared "only stupid people or fools" think that "having a good relationship with Russia is a bad thing".
The President-elect's comments are the latest in the ongoing drama in regard to Russia's alleged hacking of Democratic databases in a bid to influence the outcome of the US election.
But it seems Baldwin can see the funny side of most of what Trump does. His regular comic impersonations of the President-elect have been welcomed by critics of the man who will move into The White House on January 20.
The pair have clashed multiple times on social media, trading insults over Baldwin's portrayal and Trump's policies. Balwin even suggested he would stop impersonating the President-elect if he released his tax returns.