Government sources have said Turkey is not planning to declare war on Syria.
The UN Security Council is to meet later, following a Turkish request for the body to take "necessary action" to stop Syrian "aggression".
Russia, which is allied to President Bashar al-Assad's government, has asked Damascus to acknowledge officially that the cross-border attack was "a tragic accident" which will not happen again.
In Syria itself as many as 21 members of Syria's elite Republican Guards have been killed in an explosion and firefight in the Qudsaya district of Damascus, the UK-based Syrian Observatory for Human Rights (SOHR) told the BBC.
We have learned that we cannot live alone, at peace; that our own well-being is dependent on the well-being of other nations far away. ... We have learned to be citizens of the world, members of the human community. ... We shall strive for perfection. ... We may make mistakes, but they must never be mistakes which result from faintness of heart or abandonment of moral principle.