This question comes up A LOT. You could do a search in either the RAZR HD forums or the RAZR M forums to find the answer. The phone is a global phone, it has a SIM card and it works on GSM networks outside the US. There's a lot of misinformation floating around with people, like hte poster above, screaming about it being CDMA and not working globally... this is simply not true. I have been to Australia with this thing, it works fine.
The problem that others have found is that because India uses CDMA there's some logic burned into the phone that locks it to Verizon and their partner carrier whilst in India. Unfortunately, there is no known workaround that I have found. Some people have tried things with RadioComm, including the GSM unlock which allows the HD to be used on US GSM carriers (ATT/TMo). I haven't seen anything to indicate that this fix also fixes the phone so it can be used in Inida.
Sorry for the bad news...