Walk along the alleyway until you reach a main intersection with a striking view of the Eiffel Tower. Feel free to take in the sights, but be warned: the simulation breaks down after a short period of time. Go down the subway entrance steps to the left of the café.
At the platform, cross the tracks and climb the ladder on the opposite side.
Follow the linear pathway (including a little light free running) until a train streaks past as you approach two sets of tracks. You can then go through the entrance to the right and climb the wall inside.
On the upper level, turn right and follow the route shown on the screenshot above to reach another linear free run course. When a cutscene introduces an onrushing train, negotiate the obstacles in your path to escape it. As you may have noticed by now, holding 
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to slide under or vault over low obstructions while running can be extremely useful.
After escaping the train, go through the illuminated doorway and ride the lift to the surface. In this next section, instability in the Animus simulation causes regular bursts of gale-force winds that hurl debris in your direction. Whenever this happens, lock to the closest piece of cover with 
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and wait until the gusts subside, as shown here.
When you reach this position, wait for a lull in the storm and climb the crane to reach the scaffolding surrounding the Statue of Liberty. With the wind now more of a spectacle than a danger, you can follow the clockwise course to reach a lift rope on the upper level. Run into this to enter the portal and escape the Server Bridge.