How do you say it in Italian?
Penso di sì
Penso di sì is how you most commonly say I think so in Italian.
Penso di sì.
I think so.
For example, you can say…
C’è ancora un po’ di succo d’arancia in frigorifero? – Penso di sì.
Is there any orange juice left in the refrigerator? – I think so.
Penso is the first-person conjugation of the verb pensare, to think.
Another very common translation is credo di sì, featuring the verb credere, to believe.
Credo di sì.
I believe so.
Then we have the preposition “di”, which roughly translates of, and sì, which stands for yes. This sentence literally translates to “I think of yes”.
Pensare is one of those pesky Italian verbs that need to be followed by a preposition. You need to use di in this specific sentence, but other prepositions are used. For example, you could hear…
Penso di non andare alla festa.
I think I’m not going to the party.

Penso che il leone sia un animale bellissimo.
I think lions are beautiful animals.
Penso spesso a cosa potrei fare da grande.
I often think about what I might do when I grow up.
Mi sa/pare di sì
Mi sa di sì cannot be literally translated, because mi sa che is a very colloquial expression that means I guess. It comes from sapere, to know.
Mi pare, however, can be translated as it seems to me. It comes from parere, to seem.
Mi sa di sì.
I guess so, I think so.
Mi pare di sì.
I guess so, I think so.
Both can be used in conjunction with proprio, a very common filler word.
Laura è già andata via? – Mi sa proprio di sì.
Has Laura left already? – I really guess she has.
Mi pare proprio che il cane sia scappato.
It really seems to me that the dog ran away.

(Ti) direi di sì
Direi di sì and ti direi di sì are other common ways of translating I think so in Italian. They literally mean “I would tell (you) so”, with ti meaning “to you”.
Ti direi di sì.
I would tell you yes.
For example, you can say…
Pensi che dovrei iscrivermi a un corso di karate? – Ti direi di sì.
Do you think I should enroll in a karate class? – I would say yes.
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