I might be misunderstanding, because I'm not sure what you mean by having the individual report/details show up in the list property published next to the app on the site contents.
However, you can use the gallery's OnSelect property to set a variable, Set(varItem, ThisItem); now you can access whatever record the user selected across screens!
If you wanted to create another screen to display that item, for example in a form, then you could set its Item property to varItem, its Data Source to whatever the list is, and be good-to-go!