Create a SQL Server Redirect (Alias / Linked Server) I currently have a database on a named SQL server instance called \Mobius and database name of Mobius

We need to move the database to the default (parent) instance but don't necessarily want to update our connection strings in all our applications (initially) so that a call to \Mobius will point to having the database of the same name.

Is there a way this can be done?
This might be what you are looking to do but as the answer notes you will only be able to have a single instance running after the change. 

Pointing all connections to the default instance