Matching two video conversations
The problem you want to solve is called automatic audio alignment, or auto-synchronization of audio. Common algorithms are phase correlation, cross correlation on the raw audio waveform. People also use more "cooked" audio features like MFCCs, say each 10ms frame, and measure frame-wise similarity between the audio segments to be compared.

There are many threads on Stack overflow that show how to do this. For example: find-short-clip-of-audio-within-longer-clip-of-audio, cross-correlation-vs-fft-for-finding-phase-between-2-signals. Also some interesting repos on github, audiosync, videosync