I was trying place a link to a views page in the tabs that appear on nodes, I wanted it to appear link "Node Edit MyNewLink". The way to do this is to set the page URL "node/%/MyNewView", and create a normal "menu tab". The link will automatically appear, just make sure you replace "MyNewView" in your view path to something relevant.

The only problem with this is that this link will then appear on every single node view page. I don't know of any way to hide it except for certain content types or if there are results. Make sure you set the access on the view if you don't want this to be visible by the general public.