What does it mean in other words?
with the strictest fair trial standards and safeguards in place.

THE CONTEXT:

However, Saudi Arabia still maintains that death sentences are carried out in line with Sharia and with the strictest fair trial standards and safeguards in place.

Question

What does it mean in other words?
with the strictest fair trial standards and safeguards in place.

THE CONTEXT:

However, Saudi Arabia still maintains that death sentences are carried out in line with Sharia and with the strictest fair trial standards and safeguards in place.

Answer

In this context it means that death sentences are only carried out on those proved to be in violation on the law (in this case Sharia law) and that they take the up most care in prosecuting peoples in a fair way.