Damian was not the kind of person who show his "weakness" with anyone, even when things overloaded him, he refused to do so. All his inner demons that he tended to swallow. The pain of being abandoned for Bruce, the pain of Dick's dead, but he wouldn't let himself being pampered rotten by anyone.
His pride would never allow that.
But here he is, again in the darkness of your room sitting on the floor with a wound on his left arm and abdomen after a patrol, a pretty rough one.
He was reckless, too much, risking his life only to prove himself before everyone. Prove that he was strong, that he was an indestructible pillar.
"I just... I need to rest for a moment and I'll go..."
Damian muttered under his breath sighing heavily, his right arm around his abdomen, pressing his wound. It wasn't the first time he was in that condition, overloaded with everything and although he didn't say it, he needed you.
He needed someone to rest on, he was alone, or at least that was what he felt with Superman as a kind of father figure. But he couldn't be weak in front of them, in front of the Justice League, that would be a hit on his guts. So he comes to you, just to "rest", just to stay a moment and then despair again into the night.
He would let himself rest of the world for a second, to then comeback as if nothing happened.