Problably a wood blewit lepista nuda, but they are a very eccentric shape, this probably due to the dog basket, but i can't be very sure what they are.
Blewits smell differant to other types of purple fungi, they have a smell sort between lavender and washing powder. If you put them a piece of paper over night they should leave a pale spore print. I am really not very sure all what they are from the photo.