The version with "it" might be more usual in conversation.
There is a significant grammatical difference:
Talking about Rima, it reminds me she sent me a friend's request a few months ago
"talking about Rima" is an adverbial clause of time, and "it" refers to something mentioned in the context, or to the situation (now that we are talking about Rima, what you just said/this situation reminds me ...)
Talking about Rima reminds me she sent me a friend's request a few months ago
"talking about Rima" is the subject of "reminds": talking about Rima serves as a reminder.
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