So after registering the files so the imports would resolve properly, I registered a tsconfig.json file with the following data:
		fileSystemProvider.registerFile(
			new RegisteredMemoryFile(
				URI.file('tsconfig.json'),
				JSON.stringify({
					"compilerOptions": {
						"baseUrl": "./"
					}
				})
			)
		) 
In my case I want to be able to import file without the use of a relative path:
import { Something } from 'Component' 
instead of
import { Something } from './Component' 
Since this however, I'm getting a bunch of errors in the console that I would like to fix, or at least understand why they are happening:
Is there a service override that I'm missing ?
I've updated the repository here if you need to see the error:
https://github.com/jpdery/monaco-editor-wrapper-extension-host-error
Thanks