Willey had been involved throughout the four-year build-up to last year’s World Cup but was left out in favour of Jofra Archer.
Reece Topley also recalled four years after his last appearance.
England host Ireland on Thursday, Saturday and Tuesday at the Ageas Bowl.
Vince is expected to be included when England name their ODI squad to face Ireland on Monday.
Pakistan host Sri Lanka in Karachi in the second ODI of the series. Follow the action LIVE with C365.
Is it reasonable to expect batsmen to cope with constant format switches?
"I need more time to think, that's the honest answer. It's a big decision, it's a big commitment."
The batsman has represented the Windies in 284 ODIs so far and has an average of 36.89 in that format.
The ultimate cricketing festival returns to England this summer, so we've had a look at 28 years of ODI shirts...