Goalkeepers Darren Randolph and Colin Doyle reported into camp along with James McClean to link up with the squad who had completed a three-day training camp in Fota Island Resort last week.
West Ham United youngster Declan Rice drops out following his first involvement at senior level.
The squad will depart Dublin on Monday, May 29 ahead of Thursday's game in New Jersey - which will be broadcast live on eir Sport - and return to Dublin on Friday, June 2.
A selection of senior players will then report into camp as preparations begin for the 'Three' International Friendly against Uruguay on June 4 and the 2018 FIFA World Cup qualifier against Austria on June 11 - both in Aviva Stadium.
Republic of Ireland Squad
Goalkeepers: Colin Doyle, Darren Randolph
Defenders: Cyrus Christie, Alex Pearce, Richard Keogh, Shane Duffy, Andy Boyle, Kevin Long, John Egan
Midfielders: Eunan O'Kane, Alan Browne, Daryl Horgan, Conor Hourihane, Wes Hoolahan, Stephen Gleeson, Callum O'Dowda, James McClean
Forwards: David McGoldrick, Daryl Murphy