Robocalls from South Australia's Liberal Party have been made to households across the Adelaide Hills for a second consecutive morning, causing widespread frustration and leading to a call for a ban.

Key points: Another round of robocalls has woken up residents in the Adelaide Hills

Another round of robocalls has woken up residents in the Adelaide Hills The SA Liberals have apologised for the bungle for the second consecutive morning

The SA Liberals have apologised for the bungle for the second consecutive morning Labor said the robocalls were now "becoming harassment"

Yesterday, the Government issued an apology over the blunder which provided many South Australians with a rude awakening, and promised to fix the problem.

Less than 24 hours later, however, the Liberal state director has again had to apologise after many ABC Radio Adelaide listeners reported being woken up by the same survey asking for feedback on the current direction of South Australia.

"All survey calls were wiped from the system, however, this must be a hangover from yesterday's problem," director Sascha Meldrum said this morning.

"Sincere apologies to anyone in the hills who were affected.

"This will not happen again as we will not be using the same supplier for phone surveys again."

The Labor Opposition said it would move to ban political parties from making the intrusive automated calls, describing them as "harassment".

But Labor leader Peter Malinauskas said his party would continue to use them as long as the Liberals did.

"We're not going to give our political opponents a licence to call people and inundate South Australian households … without the opportunity to respond," he said.

"People hate these robocalls. They drive people crazy, no-one wants them, no-one particularly likes them, particularly when they come from a political party.

"That's why I want to do something about it and put in place a ban."

Treasurer Rob Lucas yesterday said he suspected "someone's backside is going to get a boot" over the problem, but the message did not seem to have filtered through.

"My husband's mobile went off so he raced out of bed and sure enough, it was a robocall," said ABC Radio Adelaide listener Karen, who was disturbed from her slumber just after 6:30am.

"Anyway, I was dozing back to sleep and then my mobile went off so we scored it twice this morning and I actually did the survey.

"Normally I wouldn't do it but I was so angry this morning that I decided to give Mr Marshall and the Liberal Party a bad rating."

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Premier promises 'thorough investigation' into blunder

The latest round of robocalls seems to have been concentrated in the Adelaide Hills, with reports from as far afield as Crafers, Macclesfield and Mylor.

"Do you think South Australia is generally heading in the right direction or do you think it is seriously heading in the wrong direction? Press one if it's heading in the wrong direction," the message stated.

Premier Steven Marshall said the situation was "completely unacceptable".

"I've called our party president this morning, John Olsen. I've expressed my complete dissatisfaction and he's committed to a thorough investigation. This will not happen again," he said.

Steven Marshall last year promised to fix Adelaide Hills mobile blackspots. ( ABC News: Nick Harmsen )

Mr Lucas yesterday admitted the robocalls were a "blunder", saying they "shouldn't have happened".

"I suspect someone has pressed the button for these … for 6:00am instead of 6:00pm," he said.

"No sensible person would be commissioning polling or robocalling at 6:00am in the morning."

Last year, the Liberal Party promised to fix mobile phone blackspots in the Adelaide Hills.