After losing the first match by an innings, the hosts went into the final day of the second clash at Queens Sports Club well behind the game at 49-0 and trailing by 147.
They managed to take the lead late in the day and eventually ended on 217-4 when the two captains shook hands.
Antum Naqvi completed a fine all-round match for the Zimbabweans, following his first-innings century and six wickets with an unbeaten 65 off 140 balls (10 fours).
It was one of two half-centuries for the home side on the final day, with skipper Takudzwanashe Kaitano top-scoring with 77 off 203 balls (11 fours, 1 six).
Only 63 overs were bowled on day four, with 22 in the innings sent down by pick-of-the-bowlers, Jade de Klerk, who claimed 2-49.
The two teams will now play a three-match one-day series, starting with the first game on Tuesday. All three matches are being played at the same venue in Bulawayo.
Photo: @ZimCricketv
