The Boro edged past Coventry Sphinx in Round 1, whilst Coventry City dismantled Rugby Town 5-1 to open their 2019/20 cup campaign.
Meanwhile, Wolverhampton Wanderers will visit Tividale FC, and Romulus FC will host West Bromwich Albion. Lye Town will host the winners of Rushall Olympic versus Walsall, whilst Coleshill Town will face Tamworth or Birmingham City in Round 2. Both ties yet to be played will take place on Tuesday 5 November.
Holders Leamington will face Banbury United after a slender 1-0 victory over Highgate United.
All second rounds ties are to be played on or before Saturday 30 November 2019.
Birmingham Senior Challenge Cup Second Round Draw
Romulus FC vs. West Bromwich Albion
Halesowen Town FC or Coventry United FC vs. Burton Albion FC
Lye Town FC vs. Rushall Olympic or Walsall FC
Nuneaton Borough FC vs. Coventry City
Tividale FC vs. Wolverhampton Wanderers
AFC Wulfrunians vs. Solihull Moors FC
Leamington FC vs. Banbury United FC
Coleshill Town FC vs. Tamworth FC or Birmingham City FC