Nine other bomb-like objects were also found in the bin in Annar Nagar this afternoon after a sweeper woman alerted them, they said, adding bomb experts were analysing the objects.
Police, who rushed to the spot, found two country bombs on the surface of the bin and the nine bomb-like objects buried under the garbage.
"We have confirmed that two objects are country bombs, and are not sure about the nine objects...The experts are analysing them," a police official told PTI.
In 2011, a powerful pipe bomb was found and defused from under a bridge near Tirumangalam in the district, hours before Advani was to take the route on his jan chetna yatra.
The bombs recovered today were powerful and could be ignited just by causing a small fire in the dust bin, an official said.