Telstra customers have rebuffed an offer of a free data day in compensation for yet another network outage, preferring instead for a discount on their phone bill.
"Our feedback from the customers was they weren't that interested in another data free day so we won't be doing that," chief operating officer Kate McKenzie said.
"But we are having individual conversations with individual customers who have been impacted, and we'll talk to them about an appropriate apology."
Some Telstra customers have received a $25 credit on their phone bill, Ms McKenzie said, and some customers still affected by the outage have been offered free modems.
The latest problems began on the evening of May 19, preventing some NBN and ADSL users from connecting to the internet.
At the peak of the outage early the following morning, some 370,000 customers were affected. By the weekend, about 15,000 customers were still experiencing problems, according to Telstra.
The outage was Telstra's fourth since February 9.
Subsequently, Telstra suffered a smaller network issue on the morning of May 22, which was blamed on a piece of faulty hardware.
Telstra, which claims to have the best network in the country, said the cause of the latest major outage was "extremely complex".
It said there was a fault with the device that manages the interaction between its network and all of the different types of customer modems.
No customers have left Telstra because of network outages, Ms McKenzie said.
Amid calls for the company to increase its spending on its network, she said Telstra's multi-billion dollar network investment is sufficient for now.
"Obviously we will do a review of all of this, if we think we need to spend more money we will, but mostly this is not a money issue," Ms McKenzie said.
Telstra earlier this month pledged to spend an additional $50 million on improving its network.
