The Finnish police had said on Friday that what was believed to be an explosive device had been found in Pasila Friday morning.
And in the early hours of the following day, a petrol bomb was thrown into a filling station forecourt in Tapaninvainio.
No one was hurt in either incident.
The Helsinki police force and the Security Police (Supo) said they were investigating the two bombings..
Earlier last week al-Nasser called for attacks against Finnish troops serving in Afghanistan.