I ended up finding an article on how to do this.
The procedure is called "Dupliforking" and the article link is this:
link
Below a translation:
Suppose you want to create the "MillionDollars" repo.
Clone the original repository (here the bootplate) and cd up to the folder.
git clone https://github.com/enyojs/bootplate.git MillionDollars
cd MillionDollars
Initialize the sub-repositories.
git submodule update --init
Go to the GitHub website and create a new repository with the chosen name ("MillionDollars").
Point the bootplate clone to your new repository (This step changes where commits are downloaded and sent)
git remote set-url origin [email protected]:<your user name>/MillionDollars.git
Text editors can also directly edit the file MillionDollars/.git/config
:
[remote "origin"]
url = [email protected]:<your user name>/MillionDollars.git
...
Push your repository
All set!