Jake Wright netted a late equaliser to secure the Blades a deserved point at Elland Road on Monday evening.
It was the least the visitors warranted after an enterprising performance, in response to Lewis Walters putting the home side in front just before half-time.
The Blades were bright from the first whistle and came close to taking the lead through a Jahmal Smith diving header at the back post. Leeds then took the lead in the 39th minute, when WALTERS capitalised on a mix up between Williams and Dimaio.
The visitors again enjoyed plenty of possession in the second-half with Bunn, Flynn and Johns all prominent in the final third.
In the 81st minute, the Blades finally got their reward when WRIGHT controlled and turned in one movement before seeing his shot trickle over the line, after hitting the goalkeeper and a post.
Speaking after clash, Development Coach Chris Morgan praised the application of his youngsters and highlighted the sharpness of Shaun Miller, who completed an hour as he continues to progress in his rehabilitation from anterior cruciate ligament damage.
Morgan said: "It was a decent game, a typical derby clash and one both sides made every attempt to win. Connor (Dimaio), Julian (Banton) and Ioan Evans were all excellent and Shaun (Miller) looked sharp throughout as he continues to rack up the minutes.
"Playing at Elland Road was another positive experience for the lads and I honestly believe these opening few matches at first-team stadiums are vitally important to the development of young players. We have had a few draws this season, but with the exception of the Crewe defeat we have acquitted ourselves really well."
Blades: Willis, Hodder, Williams, Dimaio, Evans, Banton, Flynn, Bunn (Wright 74), Smith, Miller (Khan 60), Johns.
Unused: Eastwood, Scarisbrick, Coustrain.