Execution of Bangladeshis

I had to recoil with deep shock and pain by learning about the eight Bangladeshis being executed in Saudi Arabia in a medieval way, they were beheaded in public for killing one person. We despise this act.
Why Bangladesh government failed to do anything to save those people from this horrible fate is not clear. We learnt that five more Bangladeshis are on death row in Saudi Arabia. We urge the government to become active and save them. The government must not waste time and pursue the matter immediately.
If any citizen of western countries murders someone in Saudi Arabia for some reason or other, will that person be executed in this manner? I am sure Saudi Arabia will not dare to punish him in this way.