how to click on objects using screen coordinates when ["Click"] method use relative coordinates?

Hey so I need to click on a DevExpress barControl object. The number of buttons in the bar is variable and the number of buttons being displayed at any given time depends on the windows size, so if user uses full screen or not also affects.

The arrow pointing down I'm trying to click on (pls look attached image) is completely unknown/unseen by TestComplete in the object browser, so the only way to automate a click on a "non object" is using screen coordinates.

The only information I've got relative to the button I want to find (and click on) is if it's visible on the screen or not. So if it's not it's obviously under the arrow (drop down menu from there and it's easy to work it out from then on) but the arrow itself is impossible to find.

Now the "Click" method uses coordinates relative to the object:

ClientX

Specifies the horizontal coordinate of the point of the click. This coordinate is relative to the object, it is not a screen coordinate. If ClientX is omitted, the click will be simulated in the center of the object.

ClientY

Specifies the vertical coordinate of the point of the click. This coordinate is relative to the object, it is not a screen coordinate. If ClientX and ClientY parameters are omitted, the click will be simulated in the center of the object.

In this case I need a click method which has screen coordinates and also a way to calculate those values.

Did anyone out there have the same/similar situation? How did you end up solving the problem?

Cheers,

Leandro