Kane Williamson's burgeoning 215-run stand with Henry Nicholls, who was batting on 89, helped the hosts finish Day 2 on a strong 286-3 in reply to Pakistan's first innings total of 297.
Batsman Fawad Alam, who was also named in the 20-member squad along with two specialist spinners could make a comeback to Pakistan's Test team after 11 years.
Australia, on their first tour of Pakistan in 24 years, finished day three 205 behind but scored freely after resuming on five for no loss.
England, who have won both the one-day and Twenty20 series against Sri Lanka, play a two-day practice match in Colombo before heading to Galle which hosts the first of the three Test matches from November 6.
Seen as two of the fastest bowlers in Pakistan's domestic circuit, 19-year-old Musa was included in both squads on Monday, while 16-year-old Naseem has been named in the test attack featuring a third teenager in Shaheen Afridi.
Pakistan's teenage fast bowler Naseem Shah led the hosts' recovery against Sri Lanka on a riveting opening day as Test cricket returned to the country on Wednesday for the first time since a militant attack in 2009.
Devon Conway's struck 63 to help the hosts score 173/7 in their 20 overs.
Pakistan head coach Misbah-ul-Haq and bowling coach Waqar Younis have stepped down from their respective roles, the country's cricket board (PCB) said on Monday.
Pakistan named Babar Azam as their new captain in one-day internationals, putting the elegant batsman in charge of both their limited-overs teams after a stellar year with the bat. The top order batsman, who took over Twenty20 captaincy earlier this year, succeeds Sarfaraz Ahmed as Pakistan's white-ball leader while Azhar Ali also got an extension as skipper of the Test side for the 2020-21 season.
Pakistan were 30-1 at stumps on Day 2, still 401 runs behind New Zealand's 431 in the first innings.
Images from Day 2 of the first Test match between England and Pakistan in Manchester, on Thursday.
After bagging lucrative deals at the Indian Premier League Players' Auction, the Indian team will be eager to deliver when they face arch-rivals Pakistan in the second semi-final of the ICC Under-19 World Cup in Christchurch, on Tuesday.
Hashim Amla struck an unbeaten half-century as South Africa brushed aside some early alarms to record a six wicket victory over Pakistan on day three of the first Test at Centurion Park on Friday.
In the bowling department, pacer Mohammad Abbas (13th) and experienced leg-spinner Yasir Shah (24th), who have in the past, been ranked third and first, respectively, and left-arm fast bowler Shaheen Afridi (32nd) are other Pakistan players to watch.
Marnus Labuschagne scored a sparkling 185 to help Australia to a commanding lead before the home pace attack struck to leave Pakistan facing a heavy defeat on the third day of the first Test in Brisbane on Saturday.
Pakistan left England with their heads held high after their last two tours, drawing both, most recently under Misbah in 2018.
Pakistan, who have lost 13 consecutive Tests in Australia, were in big trouble at 39 for three when rain forced an early end
Coach Misbah-ul-Haq and his fellow selectors have been criticised by Pakistan media for placing too much expectation on such young shoulders, particularly against an ascendant team that thrives on home pitches.
Rajneesh Gupta profiles the cricketers playing the World Cup 2019.
Images from Day 1 of the first Test match between England and Pakistan in Manchester, on Wednesday.
Chasing a competitive 258 for victory, Pakistan overhauled the target with just three balls to spare with former captain Shoaib Malik (51 off 43 balls) getting the winning runs.
The 34-year-old replaced Iftikhar Ahmed, who managed only 44 runs in four innings in the recent tour of Australia where Pakistan lost both Tests.
Rohit Sharma-led India's main aim would be to settle their middle-order combination and also find a perfect batting position for Mahendra Singh Dhoni.
Uncapped left-arm spinner Zafar Gohar has joined the test squad from the Pakistan A team currently in Hamilton.
Rajneesh Gupta presents all the fascinating career numbers of players in the World Cup.