Premier Investments has doubled down on its calls for the entire Myer Board to resign, despite Myer's offer of a spot on its Board.
"Premier has nothing to gain from spending time with the members of the current Myer Board," the business said in a statement.
"The failure to appoint a permanent Chairman or any additional non-executive Directors seems to indicate that no credible company director would accept an offer to work with the current Myer Board.
"The only thing Premier will accept from the current Myer Board is the resignation of its three remaining non-executive directors," the business said.
The firm stance comes as Premier refutes Myer's claims that its "Customer First Plan is delivering positive results," encouraging other major shareholders to look at Myer's performance since March 2017.
"In March 2017, Premier Investments became Myer's largest shareholder," Premier added.
"Since that time, Myer has had three Chairmen, one Executive Chairman, two CEOs, numerous strategy-launches and countless strategic reviews and re-launches.
"All the while their performance has consistently declined, disappointing their shareholders, customers and suppliers.
"We ask our fellow Myer shareholders to examine the relative operational and financial performances of Premier and Myer since March 2017," Premier said.