Old Apple ID has been deleted my device still keeps asking to sign in

Check the App Store and iTunes Store to see if there are any updates for apps/purchases. A request for another Apple ID password is often caused by updates to apps/purchases that were made when using the other ID. Those purchases are tied to the other ID and can't be transferred. One option is to delete the apps/purchases made by the other ID and download them using the new ID if desired. If necessary, check your purchases history to see which apps/purchases weren’t made by the current ID. 

Purchase History Review.   

Hey there Narayanan,

It looks like you have been through the process to delete your Apple ID. Before going through that process you have to sign out of your Apple ID on all devices that the account is signed into, as once the account is deleted there will not be a way to reactivate or recreate the account so that you can sign out of your Apple ID. This is explained in How to delete your Apple ID account under section "Before you request deletion of your Apple ID"

"If you forget to sign out, you might not be able to use your device when your account is deleted."

Let us know if you have any other questions.