südlich
southern
Describes a location or direction that is in the south or points toward the south.
Der südliche Teil des Landes ist wärmer als der nördliche.
The southern part of the country is warmer than the northern part.

southern / south of
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southern
Describes a location or direction that is in the south or points toward the south.
Der südliche Teil des Landes ist wärmer als der nördliche.
The southern part of the country is warmer than the northern part.

The adjective 'südlich' (southern) is derived directly from the noun 'der Süden' (the south). It describes anything related to this compass direction.
Die südliche Küste ist bei Touristen sehr beliebt.
The southern coast is very popular with tourists.
'Südlich' (southern / south of) can stand before a noun as a normal adjective or be used as a precise description of location together with the preposition 'von' (of/from).
Der südliche Eingang des Parks ist heute geschlossen.
The southern entrance to the park is closed today.
When 'südlich' (south of) is used with 'von' to describe a position, the place that follows is always in the dative.
Wir wohnen südlich von der Autobahn.
We live south of the highway.
As an adjective, 'südlich' (southern) is often combined with geographical terms, for example 'die südliche Halbkugel' (the southern hemisphere), 'der südliche Wendekreis' (the Tropic of Capricorn), or 'südliche Bundesstaaten' (southern states).
Viele Deutsche verbringen ihren Urlaub in südlichen Ländern.
Many Germans spend their vacation in southern countries.
south
'der Süden' and 'südlich' both belong to the area of direction and location. The important difference is the part of speech. 'Der Süden' is a noun and means the direction or a southern part of an area. 'Südlich' is an adjective, or it is used in the form 'südlich von' (south of), to describe a location more precisely. Learners may confuse the words because both point to the same area. But you do not say 'die Stadt liegt im südlich'; you say 'die Stadt liegt im Süden' (the city is in the south) or 'die Stadt liegt südlich von Berlin' (the city is south of Berlin).

Zur Vorbereitung auf die Reise sucht ihr Orte südlich von München.
To prepare for the trip, you are looking for places south of Munich.
Der Süden Europas ist im Sommer bei vielen Urlaubern beliebt.
The south of Europe is popular with many vacationers in summer.