Expired H1 - Can it be used again?

[apsawhney]

Hi,

I had an H1B petition that was valid from Oct-2005 to May-2008 initially. I stayed in US from Jan-2007 - Jun-2008. In between H1 extension was filed in Apr-2008 and that got approved as well. I quit this company in Jan-2009 and was out of US till Mar-12 i.e. for more than 3 years. Currently I am in US on L1B visa from another company. The question is that can I use my old H1 petition and get a CAP EXEMPT?

Thanks for your time.