Zimbabwe pulled out a narrow victory against Sri Lanka by 12 runs in tri-series match at Mirpur on Wednesday.
A sensational debut of Lungi Ngidi led South Africa to a memorable 135-run victory in the second Test at Centurion Park on Thursday.
Wheeler, who last played for New Zealand in February 2017, will be part of an inter-changeable 13-man T20 squad.
On a day of gripping Test cricket, South Africa nose ahead by reducing India to 35 for 3 after setting a target of 287.
Ireland beat Scotland by six wickets to extend their winning run in the triangular one-day series in Dubai on Tuesday.
Colin de Grandhomme returned from time out following the death of his father to spur New Zealand to a five-wicket win over Pakistan.
Tamim struck an unbeaten fifty to guide Bangladesh to an eight-wicket win over Zimbabwe
South Africa hold the upper hand as they reached 90 for two in their second innings on a difficult wicket.
Their unbroken 130-run stand takes England to eight-wicket victory over Namibia in Group C.
India were 183-5 at stumps on Day 2 after bowling South Africa out for 335 in first innings at Centurion on Sunday.