To the west yes, but it wasn’t until 133B.C. that Rome inherited her first province in Asia (The Former Kingdom of Pergamum centered around Ephesus and Miletus). By 200 B.C. Rome was in Illyria and Spain and Africa, but they hadn’t crossed to the East. Thus the influence in Asia would have been from Hellenistic Greece. That was my point. Rome was still a western power, not a world power yet as Carthage had just been defeated guaranteeing Roman dominance of the Mediterranean.
Your original statement:
Rome wasn’t even outside of Italy and into Asia until 133 B.C.
That is definitely not the case, I'd guess you meant, outside of Europe.
There were Graeco-Macedonian successor states in Central Asia, and some endured a while, but ethnically and culturally these were more of a local character. The Chinese referred to the Mediterranean powers such as the Alexandrian kingdoms and Rome by the same term, and even tried to establish diplomatic contact with the Roman Empire shortly after the death of Trajan, arriving in the briefly conquered and recently vacated former province of Mesopotamia.
The date range given in the article ("202 BC - 220 AD") corresponds to the duration of the Han dynasty, and Roman contact with the Han Dynasty is known.