I've just come across the new Grid layout system in Umbraco, which seems quite interesting, however I can't seem to find a way to include a grid within a grid.
I've added a simple 2 column row onto a page in the example below, but now I want to add another 2 column row within it to fill in the 2 red squares. Is this not possible or am I missing something obvious?
If I click any of the layouts at the bottom it instead adds them as an extra row to the bottom of the page rather than inside an existing grid.

The only way to include a grid in a grid (that I'm aware of) is to use the Doc Type Grid Editor package: https://our.umbraco.org/projects/backoffice-extensions/doc-type-grid-editor
This package allows any Document Type to be the basis for a grid editor. I was able to create a grid editor that was a set of tabs where each tab had a grid data type for the content. The data type was specific to tabs so you couldn't create tabs in a tab.
I also created a package (v7 Dialog Expander) to allow the dialog flyout to expand: https://our.umbraco.org/projects/backoffice-extensions/v7-dialog-expander. I did this because a grid in the small width of the dialog flyout was just too small.
It is definitely possible and actually has worked out well so far. That said, I would tread lightly here because there could be issues that we haven't yet discovered as this solution is still on a development project.