hmm .. as i saw you want a kind o picture in picture video.
In Adobe Premiere or in After Effects is easy to do it.
In timeline put both video. On first video thack will be the backgroud video (original video) and over the top of it the small video. Then you can resize the video on top and set the position where you like it to be.
If you need it with certain type of border then you will have to do it in After Effects with mask tool.
Good luck !