Umer, who has played 17 One-dayers, hit a match-winning 104 for Pakistan 'A' against India in a practice match at Lahore last week. "We thought Umer played a brilliant innings and deserved a place in the national team," chief selector Wasim Bari said on Wednesday.
Umer, 22, is regarded as Pakistan's best Test opener with 1,518 runs in 19 matches, but has not been considered for the shorter version of the game since last year's World Cup.
The 16-man squad was pruned to 15 with seamer Rao Iftikhar and batsman Misbah-ul-Haq omitted without being given a chance against the Indians.
The five-match series is locked 1-1 with India winning the opener at Karachi on Saturday and Pakistan drawing level at Rawalpindi on Tuesday. Bari said the squad for the last two matches in Lahore on March 21 and 24 will be picked after the Peshawar game on Friday.
Pakistan squad: Inzamam-ul Haq (capt), Yousuf Youhana, Shahid Afridi, Yasir Hameed, Younis Khan, Abdul Razzaq, Shoaib Malik, Moin Khan, Shoaib Akhtar, Mohammad Sami, Shabbir Ahmed, Saqlain Mushtaq, Rana Naveed-ul-Hassan, Taufiq Umer, Imran Farhat.