Really love the idea of Jon being a super but Damian not being a Robin (nobody in the Wayne family is in the hero/vigilante business). Jon meeting Damian as a civilian bc his work as a bioengineer in a Metropolis company had him be part of a joint project with Wayne Enterprises.
Damian is working as a doctor in a hospital near the company (Bruce was eager in keeping him as close as possible) so he would actually run into Jon as a civilian a couple of times but it was actually Jon as a super that got the bulk of encounters during the month Jon stayed in Gotham.
The first encounter was Jon rescuing someone being attacked by a robber but when he got at the scene Damian was also leaping into action to protect the victim. Jon was quick in intervening and stopping the robber from harming Damian but while he was dealing with the perp, Damian was already working on stabilizing the victim and reassuring them, something that surprised Jon because of how in control he seemed.
He then found out that Damian would volunteer at hospitals/clinics in the more dangerous areas of the city. Jon would always keep an eye/ear on Damian, making sure everything was fine on his end and whenever someone was hurt, Jon would make sure to leave them in Damian’s care.
Meanwhile, Damian was a bit confused over how Superman was so quick in finding him and why he would place so much trust in him. He even tried to ask that to the super one time but he only got a comment about him having healing hands. Things got even more bonkers when Damian was trapped in an attack at a Gala.
It was just his luck that the one event that he was required to go (they rotate their appearances with the rest of his siblings) was the one where a group of kidnappers decided to crash. He was trying to keep the group with him calm while attempting to negotiate with the kidnappers to let most go in exchange of keeping him when Superman decided to crash the party.
After a quick round up, Damian found himself face to face with Jon who actually chastised him for his attempt at negotiation and asked him to please just wait for him next time. Damian was shocked at that but before he could rebuke the super, the other cupped his cheek, stared at him intently, smiled at him softly and then flew away, leaving Damian flustered and heart palpitating rapidly.