Bloxham School entertain Daily Mail Under 18 Cup rugby champions Wellington Coll-ege (Crowthorne) in the fourth round on Wednesday.
Bloxham reached the last 16 with a 21-14 win over Stowe.
Abingdon are also through following a 24-5 win over Burford. They are now away to Dauntsey's, near Devizes, on Wednesday.
But Henley College bowed out 27-25 defeat at Richmond-upon-Thames.
In the Daily Mail Under 15 Cup fourth round, Abingdon edged through 15-12 at Aylesbury GS.
Magadalen College School (Oxford) crashed out 47-10 at home to Wellington College, and Bloxham were pipped 19-15 at Pangbourne.
Abingdon are now at home to RGS High Wycombe in the last 16 on Wednesday.
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