Shall we continue to pray during sun rise / set?

Assalam, It is a widely known fact that there is no prayer during sun rise and sun set as Shaitan accompanies those times . > Allah's Apostle said, "If anyone of you can get one Rak'a of the 'Asr prayer before sunset, he should complete his prayer. If any of you can get one Rak'a of the Fajr prayer before sunrise, he should complete his prayer." (Source ) We are aware that Asr (middle prayer ) is a very important Salah and missing it costs a lot . **So, how has to be the quoted Hadith understood? If we start our prayer before sunset, shall we continue praying even during the sun set?** Jakallahu Khairan.