ATV connected to a AV Sender

Currently, I have my ATV connected to my HD LCD in my living room and works great.
However, i would like to be able to connect it to my AV sender so I can use my ATV in my bedroom as well.

Currently I have my Cable Box and DVD player connected and it sends the signal to my bedroom TV perfectly with full remote access.

The problem I have is, the AV Sender unit only has the old AV inputs (Red, WHite and Yellow).
Does anyone know of a device that can switch the Component cables of the ATV to the simple old AV cables for when I want to watch ATV in my bedroom?
Or any other method of using ATV in 2 rooms without purchasing another ATV or media player?

Thanks in advance.