I don't think they can do it remotely, but you could try rebooting the modem.
BT can, but it depends on who you talk to.
When I get huge speed loss due to faults on my line caused by rain, I just get in contact with BTCare via their link and they just reset my SNR back to 6.0dB and our router disconnects and re-syncs up using the new SNR value.
But like I said it depends on who you talk to, BT India don't reset the connection, however when speaking local BT Support they have reset our connection every time when our SNR has been reset.
Saying that, this is for ADSL 2+.
Edited by PaulKirby (Sat 31-Jan-15 12:13:26)