Question

Object that can obtain both real and virtual image

Answer 1

There is no certain object but there is concave mirror that can form both the virtual and real images! 

Answer 2

A plane mirror can form virtual images normally. When a convergent beam falls on it , then it can form a real image.

A concave mirror can form both real and virtual images.
A convex lens too can form both real and virtual images.

A virtual object can result in a real image as well as a virtual image.  A real object can result in a real image as well as a virtual image.