Am i eligible for L1 Visa, if I had not worked in the parent company but its services?

I m working in a small firm and support my client, who is in US. For some urgent requirement, my client wants to hire me in as I have the project experience for the past 3 years. I hold a Bachelors degree.

I cannot avail H1B as the quota is been closed for the current year 2016.

What are all the options for me? Am I eligible for L1 visa? My client is ready to hire me for his company and my current employer has no objections with it.

The client cannot hire you on L-1 as you didn’t work for them outside US. Why can’t current employer process L-1 and send you to this client site? There is still the question whether the job really qualifies for L-1 or not.