Just received L1 by company X. Can i apply for H1 through company Y?

[rukepedia]

Dear Friends,

I have 2 questions. Could you please clarify?

1) L1 to H1
I just received L1 stamping and will be in US before 30th March and will work for company X. Company Y is offering to sponsor H1. Are there any complications? Suppose, in future, if company...

[sun327]

Hello,

First of all, I would like to say "thank you" for reading my case. I'm so confused now, any comments are appreciated.

I graduated with a BS computer engineering degree in US. Then I worked for BigCompanyA as a Programmer Analyst for 4 years. After that,...