HOUSTON—Former Enron Corp. Chief Executive and felon Jeffrey Skilling is looking to get back into the energy business after serving more than 12 years in prison for his role in one of the biggest corporate scandals in history.

Just weeks after being released from federal custody following his 2006 conviction on fraud, conspiracy and insider-trading charges, Mr. Skilling has been holding meetings with former Enron executives and others, hoping to win backing for a new energy venture, people familiar with the matter said.

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