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EZE-SIN will be a bear, but I think you can do it in the time you have. The SkyTeam timetable spit this out:
Code:
From Buenos Aires AR ( EZE )
To Singapore SG ( SIN )
Depart 22 August 2008
Departure Time 1705
Arrive 24 August 2008
Arrival Time 1555 +2
Distance 13690 mi 21904 km
Duration 35h50m
Flight 1 of 3:
Flight Air France 415
From Buenos Aires AR (EZE) Terminal
Departure Time 1705
To Paris Charles De Gaulle FR (CDG) Terminal 2E
Arrival Time 1100
Duration 12h55m
Meal MB
Aircraft Type 772
Flight 2 of 3:
Flight KLM Royal Dutch Airlines 1234
From Paris Charles De Gaulle FR (CDG) Terminal 2F
Departure Time 1425
To Amsterdam Schiphol NL (AMS) Terminal
Arrival Time 1540
Duration 1h15m
Meal
Aircraft Type 737
Flight 3 of 3:
Flight KLM Royal Dutch Airlines 837
From Amsterdam Schiphol NL (AMS) Terminal
Departure Time 2130
To Singapore SG (SIN) Terminal 1
Arrival Time 1555
Duration 12h25m
Meal
Aircraft Type 777
It is back-to-back redeyes headed east. There is also a CO/NW option heading west via IAH/NRT but that doesn't arrive in SIN until 1am on the 25th, and that would probably leave you a bit of a mess for the 9am meeting.
SIN-BOM will not be on SkyTeam. From BOM-NYC you have DL or CO options that will leave late that night. Sadly you cannot do it as a RTW ticket in the order you have the stops.