On First Data: "The stock is very cheap," he said.
On Shire: "Investors have overly discounted concerns and ignored positive data."
On United Continental: "The airline's management has identified a lot of cost opportunities. I expect 15 percent earnings growth the next few years."
On Hess and WPX Energy: "The solution for low oil prices is low oil prices. Energy stocks seem overly discounted. These two picks have growing production profile and a net asset value well above current prices at existing oil prices."
At the conference, presented by CNBC and Institutional Investor, Cooperman also shared his view on the market and oil prices over the next year.
"The market is in a zone of fair and full valuation. I see very few signs of exuberance," he said. "I predict oil will be higher in an year. I see the price of oil going to $60."
Cooperman founded Omega Advisors in 1991. The firm has approximately $3.6 billion in assets under management, according to its website.