It is a dilemma that hopefully not many people will have to deal with in their lives: when you go no contact with family members, do you still have any responsibility towards them if circumstances change? While there are plenty of ways for these kinds of relationships to change for the worse, sometimes things can develop in a way that makes them better. 

That being said, those who do something as drastic as cut off their family usually have very good reasons for doing so. Placing themselves back in the middle of that situation does not necessarily bode well for anybody involved.

Nonetheless, it is not uncommon for families to try to reconnect after bridges have been burned for all kinds of different reasons. Often, they just want to use their estranged family member for something, and predictably, this can lead to more discord and strife for everybody that is involved.