Running several debuggers for COBOL under single CICS region

Hai Guys,
Sam from Chennai. I am working on a CICS based application under Solaris platform.
Details of my application:
Backend:COBOL,CICS,Oracle,Solaris
Frontend:Java,HTML.Windows.
Its an insurance based tool,where we need to debug the COBOL programs.
Question:
I turn on my debugger by setting up the COBANIMSRV variable.The debugger pops up as i login through my frontend with an user ID.But,simultaneosly when try to invoke a second debugger session,when the first one still persist,i am unable to pop up the debugger.
My doubt is whether we can run two debugger sessions for COBOL under single CICS region simultaneously.If not,is there any other tool ,which you can suggest for the above activity?.

Thanks for the reply