Two bombs were found Tuesday in the northeastern Trincomalee district and defused by security forces, they said.
Suspected Tamil Tiger rebels late Monday fired a grenade into a police post in the district of Vavuniya, killing one constable, the police said, adding that fire was returned but it was not clear if the rebels suffered casualties.
Police said the rebels had carried out a similar attack on another sentry post in Trincomalee, wounding a soldier.
At least eight people were killed by bombs on Monday, raising to 64 the number killed in the past 10 days.
Meanwhile, the pro-rebel Tamilnet website said the Tigers had killed three rival Tamils who had entered a rebel-held area in the eastern district of Batticaloa.
"Three paramilitary cadres who were on a penetration mission into the Liberation Tigers of Tamil Eelam (LTTE) controlled area in Pendukalsenai ...
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were killed when Tigers launched a counter-attack," Tamilnet said, without indicating when the killings occurred.