Buddhism was dying out and the Greeks only became interested after Alexander died and we see the Greek statues of the Buddha
look at this statue - c 180 BCE
These were only done by Greeks in the colonies Alexander set up and some of which remained
The Greeks and only the Greeks got the original religion and added to it greatly and spread it to the rest of the Far East whereas it was only in theGreco-Bactrian Kingdom which was Greek
The Greeks then spread the religion
“In order to propagate the Buddhist faith, Ashoka explains he sent emissaries to the Hellenistic kings as far as the Mediterranean, and to people throughout India, claiming they were all converted to the Dharma as a result. He names the Greek rulers of the time, inheritors of the conquest of Alexander the Great, from Bactria to as far as Greece and North Africa, displaying an amazingly clear grasp of the political situation at the time.”
“The Gandhāran Buddhist Texts (oldest Buddhist manuscripts yet discovered, from ca. 1 CE) are attributed to the Dharmaguptaka school. And some believe that the founder of that Buddhist school was…a Greek .....“Dhammarakkhita (Pali, “protected by the Dharma”), was one of the missionaries sent by the Mauryan emperor Ashoka to proselytize the Buddhist faith. He is described as being a Greek (Pali yona) in the Mahavamsa, and his activities are indicative of the strength of the Hellenistic Greek involvement during the formative centuries of Buddhism. (http://en.wikipedia.org/wiki/Dharmaraksita)
.....“One of the major missionaries was Yonaka Dhammarakkhita. He was…a Greek monk, native of ‘Alasanda’ (Alexandria). He features in the Pali tradition as a master of psychic powers as well as an expert on Abhidhamma…...(http://newbuddhist.com/discussion/13687/oḍḍiyana-interesting-tidbits)
“The Legacy of the Indo-Greeks starts with the formal end of the Indo-Greek Kingdom from the 1st century CE, as the Greek communities of central Asia and northwestern India lived under the control of the Kushan branch of the Yuezhi, apart from a short-lived invasion of the Indo-Parthian Kingdom. The Kushans founded the Kushan Empire, which was to prosper for several centuries. In the south, the Greeks were under the rule of the Western Kshatrapas.”
The 36 Indo-Greek kings known through epigraphy or through their coins belong to the period between 180 BC to 10–20 AD…..
“Isidorus of Charax in his 1st century CE “Parthian stations” itinerary described “Alexandropolis, the metropolis of Arachosia” as being Greek:.....“Beyond is Arachosia (Old Persian Hara[h]uvati, Avestan Haraxvaiti)). And the Parthians call this White India; there are the city of Biyt and the city of Pharsana and the city of Chorochoad (Haraxvat) and the city of Demetrias; then Alexandropolis, the metropolis of Arachosia; it is Greek, and by it flows the river Arachotus(Harahvati). As far as this place the land is under the rule of the Parthians.”—“Parthians stations”, 1st century AD.”
“.....the first anthropomorphic representations of the Buddha himself are often considered a result of the Greco-Buddhist interaction. Before this innovation, Buddhist art was “aniconic”: the Buddha was only represented through his symbols (an empty throne, the Bodhi tree, the Buddha’s footprints, the Dharma wheel). This reluctance towards anthropomorphic representations of the Buddha, and the sophisticated development of aniconic symbols to avoid it (even in narrative scenes where other human figures would appear), seem to be connected to one of the Buddha’s sayings, reported in the Digha Nikaya, that discouraged representations of himself after the extinction of his body…..Probably not feeling bound by these restrictions, and because of “their cult of form, the Greeks were the first to attempt a sculptural representation of the Buddha”.