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A group including corporate financier Carl Icahn held talks with an executive of


(EYE) - Get National Vision Holdings, Inc. Report

about selling the vision correction laser maker to a larger company.

According to a filing with the

Securities and Exchange Commission

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, the Icahn-led group said it believes Visx would benefit from competition with better capitalized and broader-based companies in its field.

The group spoke to Visx President and Chief Operating Officer Elizabeth Davila about increasing its poison pill threshold of 10%, calling it "unreasonably low." The group said it acquired a 9.9% stake, equal to more than 6 million common shares, because it believes the shares are undervalued.

Visx adopted the poison pill in July in response to Icahn's proposal to acquire more than $15 million of the company's stock, but less than 15% of the common shares outstanding.

The filing stated that Davila would take the group's views "under advisement."

Shares of Visx closed up $2.63, or 12.9%, to $23 in

New York Stock Exchange