Crossword Genius

Italian who drew one game after another (7)

Ross

I believe the answer is:

tiepolo

I'm a little stuck... Click here to teach me more about this clue!

'italian who drew' is the definition.
The definition suggests a singular noun which matches the answer.

'one game after another' is the wordplay.
I cannot quite understand how this works, but
'one' could be 'i' (Roman numeral) and 'i' is found within the answer.
'game' could be 'polo' (polo is a kind of game) and 'polo' is found within the answer.
The remaining letters 'te' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for tiepolo that I've seen before include "Italian artist" , "Giovanni -, Italian baroque painter" , "I used to paint" , "Italian painter, Giovanni Battista (1696-1770)" , "C18 Venetian painter" .)

I've seen this clue in The Guardian.
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