Hey all!
I doubt it will be eggs from a lizard as here in London we don't have many :D Also, they are spherical balls, like circle not oval.
I touched the white ones on top and it was brittle and broke. I didn't touch the brown/dark ones and to be honest was kind of nervous incase something blooming crawled out of it!
Also, I should say, I only bought this palm a week ago, if this is relevant.
Here is a picture of the palm -
Thank you so much for the help/suggestions.