How can I drop aggro against monsters while playing solo?

Solution 1:

According to the answers on the question How does aggro work in Diablo III?, aggro is triggered by damage and proximity. And each period of time a monster will lose aggro and search for a new target.

According to this, if you want to drop aggro from monsters you need to run away and slow them down to gain distance from them. Then, once their time to reassign aggro comes, the'll will look for a new target. But since you are far enough from them (hopefully), and didn't hurt them, they'll leave you alone.

So, in order to gain this:

• Don't use any DOT (damage over time), as it'll refocus their aggro on you due to the damage done.
• If you have any +speed gear, put it on
• Use slowing of freezing abilities (that don't cause DOT)
• Relocation abilities such as teleport or leap attack will help you, especially if they can make you jump over a gap that the monsters can't cross.
• Abilities with knock back might help to get a head start.
• DO NOT ATTACK ENEMIES WITH NON SLOWING POWERS DURING THE ESCAPE!!!

Solution 2:

The monsters will stop chasing you when they lost their aggro towards you.

You can get extra information about Aggro in Diablo-3 in "How does aggro work in Diablo III?"

Once 3 Champions/Rare mobs (blue and yellow) followed me for 4 maps until the city. That was scary.