How to befriend possible stray?

[Elouera]

We moved house last year and have daily visits from a cat with no collar- eating food left out for the hedgehogs. Neighbours don't know who owns it, but I realise it might someone farther away. Its grown in confidence and visits whilst we are in the garden without running off now. Other than taking it to a vet to check for a microchip and putting up signs, is there anything else I can do to see if it has an owner? If it is stray, can we ever befriend it enough to allow a pat?

DH went out to the garden once to find out greedy cat eating worms. He's very very well fed.

Oh okay - that’s me less worried, thank you
My cat is way too fussy with his food

@YetAnotherSpartacus

Pumper - in the nicest possible way, you are posting on the Litter Tray where posters have actual expertise with cats, particularly TheCatNeuterer. The clue, in case you missed it, is in the username. TCN is a professional stray and feral cat finder and carer and she knows what she is talking about. Her advice is based on experience and evidence.

Queen also has a rescue cat and over the years has maintained close connections with CP and they have scanned many strays that her weirdo cat has brought 'coz they need help, Mama'. She acts on their advice.

I think you need to listen some more.

The only thing I have said is the OP shouldn’t feed it unless she’s prepared to pay it’s vet bills. I don’t see why that’s so contentious.