I was working with Company A in India and they filed H-1B petition for me in 2007. I got the petition approved and stamped the visa after some months. But due to project requirement changes , I was not required to travel.
I continued to work for Company A and in 2010 they applied L-1B for me.Right now I am in USA with my L-1B visa.
Now Company B offered me a Job, So I told them I need H-1B sponsorship and can start only in Oct 1st, 2012.
My Question is since I had one H1-B approved petition (visa) , is there a way I am exempt from the cap.Even though I did not use that visa to travel.