a telephone connection system comprising a first subscriber telephone set, a home transmission unit, a subscriber line, a telephone switch, a second subscriber telephone set, a fast digital switch unit, an internet, an internet provider and a terminal unit, wherein: when the call of the second subscriber telephone set is received via the telephone switch and the subscriber line to the first subscriber telephone set, the home transmission unit generates a called electronic mail indicative of the call reception, and feeds said mail via the subscriber line as a fast digital communication line, the fast digital switch unit and the internet to the internet provider for transmission of the data via the internet to the terminal unit, and when a reception request is provided from the terminal unit,an xDSL home unit an electronic mail indicative of the call reception with a metallic subscriber line used as an xDSL line; feeding the generated electronic mail via the xDSL line, an xDSL station side unit and an internet NW to an internet provider; transmitting the mail via the internet NW to a portable telephone radio base station and a portable telephone set; and in response to provision of a reception request from the portable telephone set, feeding by the xDSL home unit the call from the subscriber telephone set via the xDSL line, an xDSL station side unit and the internet NW to the internet provider for transmission of the call via the internet NW to a portable telephone radio base station and to the portable telephone