One should not reduce the current carrying capacity of the installed cable without adding some overcurrent device, so if original cable 10 mm² then the extension also should be 10 mm².
There is a problem with cooker supplies, it is clear that a cooker should not be supplied with a 100 amp overload device, but it seems manufacturers don't actually give a maximum supply size in their installation instructions, they often give a minium size, but not maximum. So traditionally we used a 32 amp overload device for cookers, and it does not really matter if the oven and hob are combined or not, in the main for domestic installations 32 amps is enough.
But we have seen 45 amp overloads used, as to if the wiring in an oven can take 45 amps, we have no idea, we are reasonably sure the hob can take that current, but not the oven.
Due to other side of the channel using 16 amp sockets, there are a lot of ovens rated over the 3 kW that our 13 amp fuse will allow, and our fused connection units (FCU) will only take up to a 13 amp fuse, so if the oven is over 3 kW then either a dedicated supply is required, or a supply protected at no more than 32 amps, as we have no idea if the oven is safe with a larger supply, the manufacturers simply don't tell us.
The chances of anything going wrong which would not trip a RCD is slim, so having an oven and hob from a duel outlet and a 45 amp MCB/RCBO it unlikely to cause a problem, and I am sure it has been done many many times. However without looking at the appliances and doing a risk assessment, it would be wrong to suggest connecting a 16 amp oven to a 45 amp supply, or to reduce the cable size without fitting an overload.