Both Ahmed Shehzad and Umar Akmal have been out of favour with the previous national selection committee and the team management and were not considered for the World Cup earlier this year.
A Pakistani player representing Winnipeg Hawks in the Global T20 Canada was reportedly approached by a former Test cricketer to fix matches.
Three senior players have been excluded from the list of 23 probables called up for the fitness tests. The final 15-man squad will be out on April 18.
Umar Akmal's career has been plagued with disciplinary issues.
The Pakistan Cricket Board (PCB) handed controversial batsman Umar Akmal a three-match ban and a fine of one million rupees ($10,000) on Thursday, for an outburst against head coach Mickey Arthur last month.
Umar had an altercation with Pakistan's head coach Mickey Arthur at the National Cricket Academy last month over practicing there.
Umar Akmal was sent back from the Champions Trophy in England after Arthur said his fitness standards was not at par with the team.
The incident happened in front of Inzamam-ul Haq and Mushtaq Ahmed, alleges Umar Akmal.
Umar was sent back from England after failing a fitness test before the Champions Trophy.
Umar Akmal even tweeted on his post asking fans not to make negative comments, but that had no effect as fans continued to unleash their wrath on the Pakistani cricketer.
In recent months three of Pakistan's senior players and former captains -- Younis Khan, Shahid Afridi and Misbah-ul-Haq -- have retired from international cricket.
The national selectors have already sent Haris Sohail as Akmal's replacement for the tournament.
Arthur ordered second test after Pakistan's National Cricket Academy cleared Akmal.
Umar Akmal failed two fitness tests in two days.
The incident occurred when Akmal, captaining the Punjab province, was asked about his side's combination against Sindh.
Pakistan will play arch-rivals and defending champions India in their first Group B match at Birmingham on June 4 followed by matches against South Africa (June 7 in Birmingham) and Sri Lanka (June 12 in Cardiff).
"Police stopped me and used foul language and they told me I would have to remove the number plate myself," Umar Akmal later told reporters
While Virat Kohli has taken his game to the next level, Umar Akmal and Ahmed Shehzad continue to struggle. Akmal has now hit out at those who compare his record with that of the Indian captain. According to the Pakistani right-hander, comparisons with Kohli are unfair because the Indian skipper bats at the number three position.