I generally have good memory for conversations, what I do is simply think back on what I say at the time of the conversation and then everything else comes back naturally.

Like when one recalls a conversation with anyone "I told them that XYZ and then they told me that AYUH can you believe that!?" and that's what works? Though as pointed up there by dreamer/Hyu, sometimes will have to fill in gaps when the conversation is too long and some of it has been forgotten; or incidentally when it is too long and you don't feel like writting down everything it feels nice to cut on the details and make a small summary of the conversation <.<