The significant encounter between Randy and Ponyboy takes place at the Curtis' house after the rumble. It is there that they have a conversation which leads to some important realizations:
* Randy understands the greaser's perspective: He begins to see the greasers as individuals, not just a gang, and understands their motivations.
* Ponyboy sees the world through Randy's eyes: He gains a new perspective on the Socs, realizing they aren't all rich and spoiled, and some, like Randy, are struggling with their own problems.
* Both realize the futility of the rivalry: They come to understand the senselessness of the violence between the groups and the harm it causes.
So, while there is no meeting at the Tasty Freeze, the encounter between Randy and Ponyboy at the Curtis' house leads to significant discoveries about each other and the nature of the gang conflict.