A connection to a stub downhole is accomplished in a variety of ways. A string has a tapered lower end inserted into the stub and expansion occurs from within the tapered lower end into the stub to leave a connection without reduction of the internal diameter. An overshot fitting can be lowered outside the stub and the stub expanded from within against the overshot. Both options in a single tool can be used to get sealing around the inside and the outside of the stub. An adjustable swage can be used with the overshot configuration where the overshot has an internal groove. The adjustable swage expands from within the stub into the surrounding groove in the overshot.