Albion will contest an all-Championship tie in round three.
Albion played Reading as recently as last Saturday, when goals from Sam Baldock and Anthony Knockaert secured the Seagulls a point in a 2-2 draw.
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Reading progressed to the third round of the competition after beating League One side MK Dons 4-2 on penalties, following a 2-2 stalemate in extra time.
Further information, including ticket details, will be confirmed in due course.
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