I have filed my L-1 B individual petition in regular process and got the receipt no. on 4th of November 2013.
The same employer or another employer can file an H1B petition for you, but as you are probably aware the filing will be constrained by the visa cap.
There are also issues of being granted change or extension of status to H1B if an intervening petition is still pending with the USCIS, so the question of whether an H1B petition can be filed is separate from the question of whether it is desirable. The pending L1B petition can easily take several months for a decision, esp. if there is an RFE. Please consult with an immigration lawyer.
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