H1 through a consultancy firm.

[busybee2512]

I went to graduate school in the US, (majored in Architecture) and was on an F1 visa from the period 2006-2009.I graduated in Aug 2008 and applied for an H1 through a consultancy firm.The petition for an H1 visa was approved, but I decided to return back home anyway and came home in 2009.
Also,2 weeks ago, I visited the States for a week for a conference on a B1/B2 visa. I eventually want to return to the States and work there and therefore, need advice in this regard...

Given that my petition for an H1 has been approved, will the company that offers me employment have to reapply for an H1 for me?Or can the H1 be transferred from the Consultant company(that got me the H1), to the new company easily?

Any help in this regard shall be highly appreciated..
Thanks!

[kabkaba]

Any employer can file a petition for you. Since you are already cap counted, the employer can request an immediate start date rather than waiting for Oct 1.