https://www.asda.com/asda_shop/rc19_help/web_rc19_d_any_questions.html
If you still have questions why not email us by clicking on "Customer Services" and then click on "Contact Us" or call us on 0845 300 7771 between 8am and 10pm, 7 days a week.
So the 0845 is customer service, apparently not dedicated to online

From the contact us page

Customer Services,
ASDA House,
Southbank,
Great Wilson Street,
Leeds,
LS11 5AD

Telephone: 0500 100055      (Note this is a freefone number)
Fax: 0113 241 7732
Minicom: 0800 0683003

From 192
0113 243 5435
0113 241 8666 fax

There is an entry for Asda in the unverified database that is 0208 7526300, but no other information or non-geographical number.

020 8752 (6300)
8752 is Ealing / Acton W3      There is no branch there.The nearest is Wembley which is 020 782 6300 So perhaps a typo in the database.

You can find your nearest branch here http://www.asda.co.uk/asda_corp/scripts/homePage.jsp?BV_SessionID=@@@@0600194272...
However they have an idiot in charge of the phone numbers. Apparently my std is now 0208 instead of 020. It's not just one mistake, it's the whole page.

I'm doing contract work for them this week so I'll see if I can get a number, but usually the local depot is the one that does the delivery.
Could you give an idea of the problem so as to assist in getting the right number.