Earlier, Mukesh bowled with venom, taking three wickets to help India crawl back into the contest as England Lions stumbled to 333 for five at lunch on Day 3.
England white-ball captain Jos Buttler will return to the side for their One-Day International and Twenty20 tour of the West Indies later in October after recovering from a calf injury, the England and Wales Cricket Board (ECB) said on Wednesday.
England have included five uncapped players for their Twenty20 series against Australia, and Gus Atkinson, Harry Brook, Matthew Potts and Jamie Smith have been named for the One-Day Internationals, the country's cricket board said on Monday.
Andrew Flintoff's 17-year-old son Rocky and fit-again pacer Chris Woakes were on Wednesday named in England Lions squad for the two four-day games against India A at home.
Opener Rajat Patidar smashed an unbeaten fifty, while Manav Suthar took three wickets as India 'A' displayed a collective effort
England Lions continued to dominate India A despite a rollicking unbeaten hundred from Rajat Patidar on the second day of their first unofficial Test in Ahmedabad on Thursday.
India A batters enjoyed their time on a placid batting track with all the top four batters helping themselves to half-centuries as the first unofficial 'Test' against England Lions ended in a draw
Jos Buttler will however lead England's T20 side against West Indies.
Wicketkeeper-batter Michael Pepper has been called up to the England ODI squad to tour West Indies and, in the absence of injured captain Jos Buttler, could open with Phil Salt.
Jos Buttler will miss this month's three-match Twenty20 series against Australia due to a right calf injury, with Phil Salt leading the side in his absence, the England and Wales Cricket Board (ECB) said on Thursday.
K L Rahul would look to make the most of his first red-ball outing in months ahead of the upcoming Test series against England.
Karun Nair stroked a magnificent century to power India A to 409/3 on Day 1 of the four-day unofficial Test against England Lions.
Sarfaraz Khan missed out on a hundred by just four runs as India A and England Lions played out a draw.
Dan Mousley scored a century before Lewis Goldsworthy took a five-wicket haul as England lifted the ICC Under-19 Cricket World Cup Plate Trophy after beating Sri Lanka by a comprehensive 152 runs, in Benoni, South Africa, on Monday.
Evin Lewis stroked 94 West Indies cruised to an eight-wicket victory over an experimental England side in the rain-affected first ODI.
England skipper Jos Buttler hammered a superb 83 off 45 balls to steer his side to a seven-wicket victory in the second Twenty20 international against West Indies.
It was England's third successive ODI series defeat since their disappointing World Cup in India last year.
India A spinners turned the knife into England Lions' batting line-up to give their side a commanding 134-run victory on the fourth day of the third and final unofficial 'Test' in Ahmedabad on Sunday.
'Hopefully, he will be back from his injuries soon. The priority will be the Champions Trophy, so we are going to make sure he is ready for that.'
Sudharsan and Rinku put on 55 runs for the fourth-wicket stand.
The India Under-19 team made it to the final despite losing to England U-19 by eight wickets via the Duckworth-Lewis method in a rain-hit youth one-day match of the Tri-Nation series.
All-rounder Connor Sully played a pivotal role in Australia's thrilling two-wicket win over England in a pulsating Group B match of the ICC U-19 World Cup, in Kimberly, on Thursday. He took two wickets and later smashed a crucial 35 as Australia first restricted England to 252 for 7 and then overhauled the target with the last ball of the match at the Diamond Oval.