Hi I am not a native speaker yet I would like to share what I have learnt. Though both can and could are used to make request, could makes it polite Thus all these are ok: 1. I am wondering if you could give me your (telephone) number.
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The best choice would be - I wonder if you could give me your number.
anonymous6. I was wondering if you could give me your number.
As you stated, a native speaker would understand any of the sentences . I, however, would say it like #6. My reason is that I started to wonder in the past.
wonder if, whether… used as a polite way of asking a question or asking somebody to do something