The most common and most likely answer to this crossword clue is the 10 letter word CONVERGENT
I've seen this crossword clue in The Times
C
O
N
V
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T
Buddy explains!

The straight part
We know that "meeting" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case meeting = convergent.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does CONVERGENT mean?
CONVERGENT noun- The rational number obtained when a continued fraction has been terminated after a finite number of terms.
- That converges or focuses.
- Of a sequence in a metric space or a topological space; having a (finite, proper) limit.