Genesis 2:11-12 describes a land called Havillah, where there is very good gold.
Were there historical attempts made to locate this land, and what do we know about such expeditions if they did exist?
A quick look at the Bible text names two known rivers (Tigris and Euphrates) and two unknown, one of which (the Pishon) flows from this land of Havillah. According to the text, Eden is at the headwaters of all four, which would put it somewhere in Anatolia.
A Google search for "Havilah and Pishon River" brings up some interesting maps, most of which discard the headwaters concept and put Eden and the missing rivers in Modern Iraq, near the Perisan Gulf. They then postulate two lost rivers flowing in from Arabia or Iran. So one of those could be the area spoken of. Some others equate it with the Nile, which has the gold for sure but does not flow anywhere near the Tigris and Euphrates.
Even if you knew the right area, Gold is often deposited by rivers in alluvial banks, which could well be exhausted in the subsequent millennia, so ancient Havillah presumably would have no more gold to find.