In 1241, a Mongol army destroyed a combined European force at the Battle of Mohi in Hungary. The Hungarian king fled. Poland had already fallen. Austria was next. Western Europe had nothing that could stop mounted archers who fought, manoeuvred, and communicated faster than anything the feudal system could produce.
Then Ogedei Khan died, 6,000 kilometres away in Mongolia. The generals turned around to go home and argue about succession. Europe was saved by a hangover. Ogedei drank himself to death at 56.
What if he'd lived another ten years?
What the Mongols had already proved
By 1241, the Mongol Empire stretched from Korea to Hungary. Genghis Khan himself had been dead for fourteen years, but the military machine he built was at its peak under his successors. They had conquered the Khwarezmian Empire (modern Iran, Afghanistan, Turkmenistan) in two years. They had taken the Jin Dynasty's northern China, including Beijing. They had crushed every Russian principality that stood against them.
This wasn't a horde of disorganised raiders. The Mongol army was the most disciplined, mobile, and tactically sophisticated force on the planet. Each warrior carried a composite bow capable of hitting targets at 500 metres, rode multiple horses (switching mounts to avoid tiring any single animal), and could cover 100 kilometres a day. A medieval European army considered 25 kilometres a good march.

They also had siege engineers recruited from conquered Chinese and Persian cities. Catapults. Gunpowder. Sappers who could undermine fortress walls. The idea that Mongols could only fight in open steppe was a comforting European fiction that Mongol siege tactics had already disproved across two continents.
The fall of the Holy Roman Empire
Without Ogedei's death pulling the army back, the next target is Vienna. The city falls. It has to. Vienna in 1241 is a walled town of perhaps 20,000 people with a garrison trained for siege warfare against other European feudal armies, not against a force that combines horse archers, siege engines, and a willingness to divert rivers and starve defenders for months.
After Vienna, the path into the Holy Roman Empire is open. Bavaria, Swabia, the Rhineland. The fragmented patchwork of German-speaking territories has no unified command structure. Each duke, bishop, and count fields his own army, fights on his own terms, and distrusts his neighbours almost as much as the invaders. The Mongols exploited exactly this kind of disunity in Persia, in China, in Russia. They send envoys ahead offering terms. Surrender and be taxed. Resist and be destroyed. Plenty of minor lords would take the deal.
France, at this point ruled by Louis IX, musters a response. But the French army is built around heavy cavalry: knights in armour on large, slow horses, charging in formation. The Mongols had been demolishing exactly this kind of force for thirty years. The feigned retreat, drawing heavy cavalry into a chase, then surrounding and annihilating them with arrow fire, worked at Mohi and at Legnica and at a dozen other battles. It would work against the French.
What stops them?
Geography, eventually. Western Europe gets wetter, hillier, and more forested the further west you go. Mongol tactics depend on open ground for manoeuvre and grassland to feed their enormous horse herds. Each warrior travels with three to five horses. An army of 100,000 warriors means 300,000 to 500,000 horses, all of which need grazing.
The dense forests of Germany and France aren't steppe. The wet winters of the Atlantic coast rot bowstrings and bog down cavalry. The Alps are impassable for an army that relies on speed and volume. Britain, behind its moat, is essentially unreachable for a land-based force without a navy.
So the realistic Mongol conquest extends from Hungary through Austria, Bavaria, and possibly into northern France and the Low Countries. The Iberian peninsula, protected by the Pyrenees and already occupied with its own Reconquista, probably escapes. Italy, shielded by the Alps, survives but finds itself surrounded.
The Mongol Empire at its maximum European extent looks something like: everything east of the Rhine plus Hungary and the Balkans. West of the Rhine stays independent, but terrified.
What Mongol rule looked like
Contrary to popular imagination, the Mongols didn't simply destroy everything they conquered. They taxed it. The Mongol approach to governance was pragmatic to the point of being boring. They collected tribute, maintained trade routes, imposed religious tolerance (Genghis Khan was explicit about this), and left local administrators in place as long as the taxes kept flowing.

Russia spent 240 years under Mongol rule, from roughly 1240 to 1480. During that period, trade along the Silk Road flourished. The Mongol postal system (yam) connected Beijing to Karakorum to Samarkand to Moscow. A merchant could travel from one end of the empire to the other under the protection of a single legal code. Nothing like that existed in fragmented Europe.
Apply that to Western Europe. The feudal system, with its local lords controlling small territories through personal loyalty and military obligation, gets replaced by a centralised tax-and-tribute structure. Serfdom might actually ease, because the Mongols didn't care who farmed the land as long as grain and gold moved up the chain. They had no investment in European social hierarchies.
The Renaissance that never begins
The Italian Renaissance started in the late 14th century, roughly 100 years after this hypothetical conquest. It depended on wealthy Italian city-states (Florence, Venice, Genoa) accumulating enough surplus capital to patronise artists, architects, and scholars. It depended on the rediscovery of classical Greek and Roman texts. It depended on a specific cultural moment where the Church's monopoly on intellectual life weakened just enough for secular inquiry to breathe.
Under Mongol suzerainty, none of these conditions necessarily develop. Italian city-states survive (the Alps protect them) but they're cut off from northern European trade routes now controlled by Mongol tax collectors. Venice still trades with the East but through Mongol intermediaries who take their cut. The surplus that funded the Medici doesn't accumulate the same way.
This doesn't mean no cultural flowering. The Mongol Empire was itself a conduit for knowledge. Chinese printing technology, Persian astronomy, Indian mathematics moved along the Silk Road. Europe under Mongol influence might get the printing press decades earlier (the Mongols used woodblock printing extensively). But the specific explosion of humanist art, science, and philosophy that we call the Renaissance probably doesn't happen. Not in that form. Not in that century.
The Reformation doesn't happen either
Martin Luther nailed his 95 Theses to a church door in 1517 in Wittenberg, Germany. In a Mongol-controlled Germany, the Catholic Church's authority is already compromised by an overlord who enforces religious tolerance. The specific grievances that drove the Reformation, papal corruption, indulgence sales, the Church's political power, exist in a different context when the Church is operating under a non-Christian ruler who doesn't care about theological disputes as long as the taxes arrive.
The Protestant Reformation was, at root, a political upheaval wrapped in religious language. German princes used Luther's theology to break from Rome and seize Church lands. Under Mongol rule, those princes don't exist as independent political actors. The incentive structure is completely different.
What Europe looks like by 1500
By the time the Mongol Empire inevitably fragments (empires always do, and the Mongol successor states began splitting in the late 13th century even without European conquests), Europe has been reshaped. The feudal system is weakened or gone. The Catholic Church's temporal power is diminished. Trade routes are more developed but oriented east toward Asia rather than west toward the Atlantic.
And here's the big consequence. If European powers aren't building Atlantic-facing navies and competing for sea routes, the Age of Exploration doesn't happen on the same timeline. Columbus doesn't sail in 1492. Vasco da Gama doesn't round Africa in 1498. The European colonisation of the Americas, Africa, and Asia, the single most consequential series of events in the last 600 years, either doesn't happen or happens later and differently.
All because a man on the other side of the world decided to have one more drink.