Uncapped Lancashire seamer Richard Gleeson is included while Test players Jonny Bairstow, Joe Root and Ben Stokes will all be involved in the ODIs
England have resisted major experimentation for the white-ball matches against India in July.
Lancashire seamer Richard Gleeson is the only uncapped played included in either squad.
Adil Rashid is missing having been given special dispensation to miss the series to make The Hajj pilgrimage to Mecca.
Jos Buttler is the permanent captain of both sides for the first time after being confirmed as the replacement for Eoin Morgan, who stepped down and subsequently retired from international cricket last week.
Despite the familiar feel to Matthew Mott's sides, there are some minor tweaks from the last outings against West Indies and Netherlands.
Missing from that T20I Caribbean tour are Tom Banton, Sam Billings, Liam Dawson, George Garton, the injured Saqib Mahmood, David Payne and James Vince.
As expected, Mark Wood continues to miss out with no timeline over his return from elbow surgery. England's glut of injured fast-bowlers including Jofra Archer, Olly Stone and Tom Curran are missing too.
Sam Curran, Matthew Parkinson and David Willey return to the fold in the shortened format.
Richard Gleeson has been rewarded for some fine Blast form (Stu Forster/Getty Images)
Gleeson, who was involved with the white-ball squad in 2020 without making an appearance, is back under consideration after taking 20 wickets for Lancashire in this season's T20 Blast.
While those involved in Test summer have not been considered for the T20Is, World Cup winners Ben Stokes, Joe Root and Jonny Bairstow return for the ODIs.
Harry Brook is a welcome addition to the 50-over group, as are Craig Overton and Parkinson who are free of their duties supporting the red-ball side.
Uncapped left-armers Luke Wood and Payne, who made his England debut in the third ODI against Netherlands, do not return.
England host India in three T20Is at the Ageas Bowl, Edgbaston and Trent Bridge on July 7, 9 and 10 before a trio of ODIs on July 12, 14 and 17.
England T20I squad: Jos Buttler (c), Moeen Ali, Harry Brook, Sam Curran, Richard Gleeson, Chris Jordan, Liam Livingstone, Dawid Malan, Tymal Mills, Matthew Parkinson, Jason Roy, Phil Salt, Reece Topley, David Willey
England ODI squad: Jos Buttler (c), Moeen Ali, Jonny Bairstow, Harry Brook, Brydon Carse, Sam Curran, Liam Livingstone, Craig Overton, Matthew Parkinson, Joe Root, Jason Roy, Phil Salt, Ben Stokes, Reece Topley, David Willey
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