Can new employer apply for extension for expired H1B?

Hi, I am in India now. My H1B is expired in Sept 2015. At present my current employer have applied for extension in regular process and we are waiting for decision. Meantime, I am getting new job opportunities from new employer. My question is, can new employer apply for my extension? If yes, what are the points needs to be considered during transfer on expired H1B?
 
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