Weevils have long noses like elephants, so I don't think it's those, but there are bunches of little bugs that are perfectly 'normal' to find in kitchens - Biscuit Beetles, Flour Beetles, that kind of thing.
Places to try and find their food source; dry goods (flour, pasta, pulses) in the cupboard, down the back/underneath the fridge, behind a bread bin or biscuit barrel, pet food storage/bowls or under appliances where crumbs have been accidentally spread.
Unfortunately, it means (in my opinion) chucking out all your dry foods - had to do it for moths last year because DP is a dick and left open packets in the kitchen and pulling out all the appliances to clean right up to and under the skirting boards, as they are small enough to wobble about as little caterpillar-like beasties and hide in the almost invisible gap between skirting and floor.
When I had a steam cleaner, I blasted along the edge with it and before that, I used crawling bug spray poison (which I hated doing, but My Food vs Bugs is always going to end in my breaking out the chemical warfare).
Then make a point of vacuuming with a crevice tool behind everything regularly so that crumbs don't accumulate - you'll need to do the entire house if anybody takes food out of the kitchen - and making sure that foodstuffs only go into sealed glass jars or airtight plastic tubs.
Meh. I wish they were sink sprites - I always fancied having the Soot Sprites from Totoro or Spirited Away, as they wouldn't have had me swearing profusely and chucking out so much food.