Officials raised the death toll from the slide in Las Tejerias to at least 43 and warned that it could go up further as bodies are found downstream from the hardest-hit neighbourhoods.
Crews extended their search perimeter to include that area, along a river a couple of kilometres outside the city.
At least 56 people were said to be missing, and some local residents have joined in the hunt for them.
Magaly Colmenares said she was with a group of firefighters that recovered the body of her grandson on Monday from a house swamped by mud. The corpse was taken to a health centre that has been pressed into service as a morgue.
"He was buried with a man who tried to help him and his three-month-old sister," Colmenares said. "I found my angel, and we have to look for his little sister too."
In the capital, Caracas, several organisations collected donations for survivors. Among them was the Leones professional baseball club, which asked fans to give goods such as food, water, clothes and baby formula.
Officials said more than 300 homes, 15 businesses and a school were destroyed in Las Tejerias, which is along Venezuela's main industrial corridor.
In a rare public appearance, President Nicolas Maduro visited the city and toured affected neighbourhoods on Monday.
The socialist leader said everyone affected by the disaster would be given new homes, adding that the city of 50,000 would "rise like a phoenix".
Maduro told journalists he would welcome international assistance, without giving further details.
