It will depend on what feeds the socket in the house. There are different types of feed for a socket.
1. Ring if this is the case then feeding a fused connection unit (FCU) or if not already RCD protected a RCD FCU then it could from that feed three sockets.
2. 4mm² Radial in which case same as above if you can get wires in the holes.
3. 6mm² Radial not physically possible no room for cables in socket holes.
4. 16A 2.5mm² Radial as long as already RCD protected you can just add.
5. Fused spur from 1 or 2 above as long as RCD protected yes you can just add.
6. Unfused spur no you can't add to this you will need to convert into a fused spur first.
The basic thing is 2.5mm² cable is rated around 20A and with a 32A supply that is too high for the cable it must have a double feed however since you can only fit one plug which has a single fuse into the socket as long as you only fit one socket and the cable is less than 3m long you are allowed a single unfused spur.
Also any new cable buried needs RCD protection and all new sockets need RCD protection.
So to fit three sockets from a 32A supply there will need to be a fuse somewhere in the circuit (FCU) but if already a 20A feed or less you don't need the FCU however I would always fit a FCU anyway so if there is ever a problem with for example water in the socket it can be isolated so rest of house sockets will still work.
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