Joe Oates took 4-49 with the ball but was unable to influence a run chase as Basingstoke & North Hants went down by 21 runs to mid-table Southern Premier Division 1 rivals Portsmouth on Southsea seafront.
The interim Basingstoke captain went for a fourth ball duck as the Bountymen lost three wickets for one run from 53-1 to 54-4 (Jalill 2-44).
Callum Coombs (33) steadied the ship before a 77-run stand between Dean Nurse (56) and Brad Neal (46) threatened to put Basingstoke in the ascendancy.
READ MORE: Baird returns to Bison
Neal fell at 131 and when Nurse perished at 174 the end was nigh. They were eventually 197 all out.
Sri Lankan all-rounder Minhaj Jalill top scored with 63 as Portsmouth posted 218-7.
Jack Marston (28) and James Mitchell (23) made top order starts before Warner (22 off 14 balls) and Joe Kooner-Evans (19 not out off 18) provided late impetus. Extras (29) were the second top scorer, though.
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