THE BEGINNINGS
THE GREEK ERA
The first that was heard of Greece and wrestling in the same sentence, was firstly in the form of myth and legend, concerning figures such as Hercules' and Odysseus.  Actually the sport began somewhere around 776 B.C.  and was introduced into the Olympics in 704 B.C, the 18th Olympiad.
The form of wrestling was an upright one in which contestants were allowed to use both arms and legs, the fall was gained when any part of either wrestler touched the ground, if both combatants fell together ,it did not count and best 2 out of 3 decided the winner.
Once wrestling was included in the olympics, the sport gained impetus and soon after every city had one or more PALAESTRA or wrestling schools
ARRICHION GOING FOR IT
The first champions were spartans, and it is thought they introduced the use of oil into contests, they regarded wrestling as an art or science, the method of winning was almost as important as winning itself.
Somewhere around 684 B.C a new form of wrestling was introduced into the games, called PANKRATION, an all-in no holds barred contest were the wrestlers fought on the horizontal base (thanx Jim Ross), biting and gouging where forbidden, the loser in the contest more often than not finished up dead or maimed, the object being to force someone into defeat.  Everything seemed to be allowed, strangling, finger breaking, punching and kicking.
One of the most famous of the early PANKRATIASTS  was a fighter named ARRICHION, in his last bout he managed to make his opponent yield and then fell down dead from the exertion, he managed to keep going on will power alone
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MILOS of CROTON
 
  the most famous of all greek wrestlers was MILO of CROTON, as well as being the consummate wrestler, apparently he was quite the unusual man as well.
Over the centuries , some of the legends attributed to old Milo, shall we say have become somewhat over the top, an example , i hear you say...O.K
he is said to have eaten seventeen pounds of meat per day as well as seventeen loaves of bread as well as drinking ten jugs of wine (how he found time to wrestle has got me stumped)
Equally as incredible is the tale that he carried a full grown cow around the 1/4 mile Olympic Stadium on his shoulders, killed the beast with a punch between its eyes and then cooked and ate the whole thing single handed.    BUT!!!... there can be no doubt about his skill as a wrestler, first olympic title in 540 B.C, he then went on to achieve five more olympic titles, ten Isthmian games, and six Pythian games.
( these were warm-ups to the olympics)
ROMAN ERA
 
Around 186 B.C after a series of wars, the Roman Empire came into being and of all the greek sports, only boxing, wrestling and pankration appealed to the romans, although they did make a few changes to wrestling, they incorporated the Estruscan style, the resulting form was known as Greco-Roman
 Greco-Roman consisted mostly of ground wrestling, this new style leaned towards strength and tripping was forbidden.