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More designated market makers, who oversee trading in the exchange's 2,200 listed companies, will be permitted to come back this week, adding to the 25 percent of participants who returned when the trading floor partially reopened on May 26.
During the latest phase of the reopening, verbal bids and offers will not be allowed, the exchange said on Monday.
The trading floor will continue to operate with reduced headcount and additional safety precautions, it added.
Intercontinental-owned NYSE closed its floor in March and had moved to electronic trading for the first time in its 228-year history, after one of its employees and a trader tested positive for COVID-19.