SAP ITS generated webpage in a Fiori(like) app. is it possible?

Hi experts,

We have a well established/stabilized ITS web pages working in production. 

Is it really possible to show these ITS pages in Fiori apps or at least in a Fiori like app?

I am thinking it will be easy for us to shift to Fiori easily for existing applications and start with

then new app with Fiori. If this approach is possible then it will be the most economical for us.

So, here is what I am trying to achieve, We do not want to replicate same set ITS pages once again into Fiori views/code. We just want the ITS generated webpage ( you know there will be lots of java-scripting and/or AJAX script ) showed up in Fiori app.

Any thoughts/suggestions/reference to existing app will be of great help.

Thanks,

Amara.