Fog, snow flurries and rain are on the way for Victoria next week after Melburnians shivered through the coldest day in five years on Thursday.

Following a sunny Saturday with a high of 15 degrees, the temperature is expected to top 14 degrees on Sunday – bang on the June average.

But temperatures are unlikely to push past 13 degrees for much of next week, after reaching a maximum of 10.1 degrees on Thursday.

Weather Bureau meteorologist Helen Reid said Melbourne had been hit with a succession of cold fronts and the trend was set to continue next week, with brief rain showers added into the mix early in the week.

“When it comes to showers, there’s not much in them. They’ve just got that nuisance factor – this is just what Melbourne does, isn’t it?” she said. “It’s just winter.”

But heavier rainfalls of up to five millimetres could be on the cards from Wednesday. “There’s going to be some measurable rain coming through mid to late next week ... You’ll see a nice little army of coats as you go about your business.”

Some “little dustings and flurries” of snow could also be on the way for Victoria’s alpine regions in the coming days, Reid told The Sunday Age.

Precipitation at the end of next week could bring lashings of snow – or rain, which could wash away the snow base at ski resorts, she said.