In a dispute with Abayye, switching sides with him: Shabbat 92a
Rava explaining how a proof for his own side, could be explained in accordance with Abayye's view: Succah 19a
Abayye used to entertain Rava [perhaps Rabbah] by juggling 8, or perhaps 4, eggs: Succah 53a
Abayye was silent (Ishtik) in response to a question, but then Rava responded for him: Makkot 6a
Abayye and Rava had a lifelong disagreement regarding transport on Shabbat in a certain alley in the house of Bar Chavu: Eruvin 15a
Rava sending a response to Abayye, via Rav Shemaya bar Zeira: Eruvin 93a
Rava diluted and then tasted wine and didn't like it, so he returned it to the store. Abayye challenged him that the merchant might then sell it as undiluted wine: Bava Metzia 60a