I would like to know if it’s possible to define areas, and then if the robot is stopped in one of the area to recover back to home position if a reset button is pressed.

You can do that, just need to define the areas in if statemtents and then query the current position of the robot to determine where it is. Within the if statements you would define the path back to home from that zone. Anytime the robot is started that hiking routine would run. 

Would I need to query the position of each axis ?
 
For example if the robot is at x=40 y =60 and z=30 
If CurrentPos(x)>30 and CurrentPos(x)<50
If CurrentPos(y)>50 and CurrentPos(y)<70
If CurrentPos(a)>10 and CurrentPos(z)<40
Then if it is all = True I must be in the defined area ? 
Thank you for your response ! 

If you want to check every coordinate, you can (I think) put everything in one If statement :

If CurrentPos(x)>30 and CurrentPos(x)<50 and CurrentPos(y)>50 and CurrentPos(y)<70 and CurrentPos(z)>10 and CurrentPos(z)<40

In this case, you're doing a cube.
Depending on your application and how the robot is used, you may use something less complicated and using not all the maximum and minimum of every coordinates to know in which area the robot is.

What I can't understand about this is how it's possible that when you do the AutoMove manually on the teaching pendant, the robot always comes back through the safe path, but then you need to program checking the coordinates to do the same thing. 

Not sure I understand about the robot coming back through the safe path using auto move. The robot will come back the most efficient path using auto move. If the arm is inside a machine and the starting point of my program is on the other side of the machine wall then auto move will try to go through that wall. 

Like @"Loïc" said you can define a region inside one if statement and then execute the path home. If you use else if statements you could then have a series of areas where the robot is and then have different paths. 

We do this on pretty much all our robots to make it easy on the operator to restart the cell. Sometimes it’s as simple as if z is below a certain height go to a clearance height straight up and then go home. 

Thanks for your responses !!

Are you all saying that it is possible to have a digital input button hooked up to a home position waypoint? I thought that buttons only allowed a user to start or stop a program.

@ritchiepham not sure what you are referencing here. But I could have a button hooked up to an input and then use that in my program to select a path using an if statement.  If this button is on, do this, else do that