Un hecho -
Comó yo mientras Alberto nadó.
Comó yo conforme Alberto nadó.
I imagine you refer to using mientras and conforme, both for simultaneous actions (not quite sure if this is what you are doubting about) - yes, both conjunctions can be used with that purpose:
Yo comía mientras Alberto nadaba.
(I ate as/while Alberto swam)
Yo comía conforme Alberto nadaba.
Both equally correct although the use of mientras is more common and more informal than conforme.
I hope this clarified it.
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