I'm trying to recall an episode of a TV show, probably 1980s or 1990s, definitely in colour.
The main plot revolved around two 'one man' spaceships fighting a battle in space. Both ships are damaged and both are hanging nose-to-nose while they wait for their automatic repair systems to fix their ships. After some time, one of the protagonists, a woman, contacts the other, a man, via her ship's radio. They have an involved conversation about why they joined the military and eventually agree that they're not so different after all. They even flirt a bit, from what I can recall.
At the end, the woman's weapons come back online first but in their new spirit of friendship and mutual respect she
kills him. (Ha! Bet you didn't see that coming. Well, neither did he).
I'm reasonably sure it's not "Outer Limits", "Welcome to Paradox" or "Masters of Science Fiction" but it was certainly in the same sort of budget range.