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I had some free strawberry plants (voucher from Daily Mail) and they do not have signs of any runners. Can these be saved for next year, and how, please?

All fruiting strawberries are perennials..so yes, they can be saved and propably crop better next year too.
How/where you are growing your plants?..if in ground, just leave them be and next spring, just when the new growth is starting come, tidy up all old leaves.
What variety they are?

I am not sure of the variety, unfortunately. They are in the ground and have given me quite a good crop of sweet strawberries. So pleased they will come back next year. :)

In my experience, not all varieties reliably produce runners!  Strawberries in general will give for 3 or 4 years, after that you will probably want to replace them as the yield starts to diminish.

In some varieties the runners come later.