After succesfuly recruiting Jin, Izuku decided to recruit the other two he was fascinated by, and of the two only one had an easy to find location, the blue flame.

So he rushed to where the last couple sightings had been and simply waited, people like this tended to reveal themselves on their own. He found a nice spot on a rooftop, central and with a clear view of several alley ways and then he sat down and listened.

Soon enough as the sun started to set there was a burst of blue fire from an alley three buildings over, right in the center of this maze. Leaping over there, with some difficulty due to random bursts of air. Izuku saw at least a dozen bodies, skeletons with small scorched scraps of flesh and cloth remaining.

And at the other end of the alley a man, late teens to early twenties, black hair and pale skin, if you exclude the parts that have been burned to a disturbing purple. He wore saggy clothes, either didn't have combat gear, or didn't think these lot were worth it. Likely the former, but the latter was plenty possible.

"Hi, I'm Izuku Midoriya, sometimes called Trickstar".
Izuku's introduction was met with a brillaint burst of blue. On instinct he leapt back, only escaping the flame because of his new quirk acting up. Izuku stood there with a smirk when the flames dropped.
"Rude".
The fire man raised an eyebrow.
"Maybe you're worth some effort".
He raised both hands up.
"Not that you'll be alive for this to matter, but I go by Dabi".

Flame tore from his hands and Izuku had to leap into the air as fire slammed into the wall behind him. The man, now named Dabi, pulled his arms upwards the flame following. Izuku barely managed to activate his quirk, pushing himself to the other side of Dabi and then back to the ground.

The flames descending on him and Dabi hidden from view Izuku gambled on his quirk. Kicking into the air he let loose a torrent of wind that cleared a path through the flame and then used his other foot to launch himself upward. He managed to grab onto a very hot fire escape and throw a dagger at Dabi, hitting him in the shoulder with the blunt end.

With the flames now off Izuku jumped towards Dabi aiming a knee at his head which was dodged. Pivoting to use his momentum Izuku went to sweep Dabi's feet but had that jumped. With last of the momentum and a small burst of air Izuku turned it into a high kick, his foot slamming into Dabi's side as he came down from his jump.

The kick threw the taller man into the wall and Izuku went moved to stab him. Dabi threw up a small smokescreen of fire and grabbed Izuku's wrist, twisting the dagger from his hand. Dabi attempted to switch places with Izuku through this grapple. But as Dabi swung Izuku around he kicked Dabi in the shin with his metal capped working boots. Needless to say this hurt quite a bit.

Dabi raised his free arm and charged a burst of flame, only to hear the click of a guns hammer to his right. A revolver was now pointed steadily at his jaw, in such a way that it would through his mouth and into his brain.

"Soo, you ready to make a deal now".
Dabi glared at Izuku's smirk.
"Your offer".
The smirk widened.
"I noticed something odd, your sightings always coincide with a great deal of vandalism towards hero propaganda, more specifically Endeavour, posters, toys, plaks, all sorts of things get scorched, well quite soon me and my associates will be getting into a little with a certain dual quirked boy and his classmates, I could persuade them to leave the lad to you".
Something flashed through Dabi's eyes, something unexpected, and protective.
"Oh my, thats odd, well if you join us you can keep him safe and sound, if thats your wish, but if you don't".
A dangerous and downright hungry look filled Izuku's eyes.
"Well, no promises".

Dabi attempted to make himself threatening and big, but quickly saw this was futile. He released Izuku's arm.
"Where and when".
Izuku smiled in full.
"I'm glad you asked".