
münden in
to flow into
Describes a body of water, for example a river, flowing into a larger body of water, for example a sea, a lake, or another river.
Die Elbe mündet bei Cuxhaven in die Nordsee.
The Elbe flows into the North Sea near Cuxhaven.
to flow into / lead to
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to flow into
Describes a body of water, for example a river, flowing into a larger body of water, for example a sea, a lake, or another river.
Die Elbe mündet bei Cuxhaven in die Nordsee.
The Elbe flows into the North Sea near Cuxhaven.

to lead to
In a figurative sense: to lead to a particular result, or to end or culminate in something specific.
Die langen Verhandlungen mündeten schließlich in einem Kompromiss.
The long negotiations eventually led to a compromise.

to open onto
Describes a street, path, or alley leading or ending at a particular place, for example a square or a larger street.
Die schmale Gasse mündet direkt auf den belebten Marktplatz.
The narrow alley opens directly onto the busy market square.
The verb 'münden' (to flow into / lead to) is closely related to the noun 'die Mündung' (mouth, outlet). 'Die Mündung' refers to the place where a river ends or where a street meets a square.
Wir machten ein Picknick an der Mündung des kleinen Baches.
We had a picnic at the mouth of the small stream.
This verb almost always needs a preposition. For bodies of water and abstract results, you use 'münden in' (to flow into / lead to) with the accusative. For streets and paths, you use 'münden auf' (to open onto) with the accusative.
Der Rhein mündet in die Nordsee.
The Rhine flows into the North Sea.
In the figurative meaning, 'münden' (to lead to) is often combined with abstract nouns. Typical examples are: 'eine Diskussion mündet in einem Streit' (a discussion leads to an argument), 'die Bemühungen mündeten in einem Erfolg' (the efforts led to success), or 'die Suche mündete in einer Enttäuschung' (the search ended in disappointment).
Ihre harte Arbeit mündete in der Veröffentlichung ihres ersten Buches.
Her hard work led to the publication of her first book.
to lead
When referring to a route, both verbs can describe a connection with a place. “Führen” says that the route leads to a destination, while “münden” emphasizes that the route actually ends there. “Führen” is appropriate for the general direction, while “münden” focuses on the endpoint.

Diese schmale Gasse mündet auf den Marktplatz.
This narrow alley opens onto the market square.
Dieser Weg führt direkt zum Marktplatz.
This path leads directly to the market square.