Police said Tuesday they are seeking a travel ban on a senior executive of Korean Air Lines Co.as part of an investigation into allegations that she insulted an advertising firm official over a business meeting.
Cho allegedly hurled a cup of water at an ad agency official during a meeting last month.
South Korean police have launched an inquiry into reports a daughter of the chairman of Korean Air Lines threw a water bottle at someone's face, the second daughter of the airline chief to get into trouble over an angry outburst.
"I apologize for my foolish behaviour", she said on Facebook.
On April 12, news reports said that she abused an ad agency employee.
She wrote: 'As I was focusing on my passion for the work, I was unable to control my thoughtless words and deeds, through which I caused injury and disappointment for a lot of people'.
More than 56,000 South Koreans have signed a petition submitted to the presidential office asking the government to stop Korean Air from using the word "Korea" in its name and stop using a logo resembling the national flag.
Police said the preliminary investigation against Cho has now become a formal criminal case. The story soon spread on the firm's intranet, saying that Cho asked an irrelevant question and threw a fit when the staffer failed to answer and threw one water bottle at the wall and another in the staffer's face.
Meanwhile, three unions which represent pilots, cabin crew and other workers at the airline have called on Cho to stand down.
Numerous people who signed a few dozen petitions demanded that the airline remove the word "Korean" from its name and stop using the symbol on the Korean flag as its logo.
Heather Cho was found guilty of breaking aviation law and jailed for a year over her "nut rage" incident but was freed in May 2015 after an appeal.
It is the latest scandal embroiling the chairman's daughters after the notorious "nut rage" incident when Cho Hyun-ah, then in charge of in-flight services, forced a Korean Air plane to turn back to the gate and assaulted the purser because she had been served nuts in a bag instead of a bowl. A Korean Air jet is pictured at O'Hare International Airport on September 19, 2014 in Chicago, Illinois.