A watch and act warning remains in place for Stockport, about 75 kilometres north of Adelaide, where rising waters in the Light and Gilbert rivers pose a threat to local homes.
The State Emergency Service says people in the area should prepare for flooding and if they plan to leave should do so now.
Sandbags have been made available in Stockport and Tarlee.
A flood advice message was also issued on Sunday night for the Murray River towns of Renmark and Berri but by Monday morning the Bureau of Meteorology had cancelled a severe weather warning for the region.
The SES said it received more than 70 emergency calls on Sunday including one related to a motorist who drove into floodwaters and became trapped.
Police said the heavy rain had closed a number of roads across the mid-north, in the Clare and Barossa valleys and in the Riverland.
They said others were also affected by water and urged motorists to take care.
The localised flooding at the weekend added to the concern for River Murray communities expected to be affected by rising water levels during the next few weeks.
Flows down the Murray are expected to rise to 120 gigalitres a day by early December as water from the NSW and Victorian floods makes its way down the river system.
Those high flows are expected to inundate some riverside homes, shacks, businesses and community infrastructure.
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