دیروز با مدیر تماس گرفتم، چون درباره جلسه سوال داشتم.

دیروز means yesterday, and Farsi very often puts time expressions near the beginning of the sentence for context.

So:

• دیروز = yesterday
• با مدیر تماس گرفتم = I contacted/called the manager
• چون درباره جلسه سوال داشتم = because I had a question about the meeting

This is very natural in Farsi, but the word order is somewhat flexible. Starting with دیروز just sets the scene first.

Yes, با usually means with, but with the compound verb تماس گرفتن it is the normal way to mark the person you contact.

So:

• با مدیر تماس گرفتم = I contacted the manager / I got in touch with the manager

Literally, it looks like I took contact with the manager, but in real usage it simply means I called/contacted the manager.

This is a very common pattern:

• با دوستم تماس گرفتم = I contacted my friend
• با شرکت تماس گرفتیم = we contacted the company

تماس گرفتن is a compound verb, which is extremely common in Farsi.

It has two parts:

• تماس = contact
• گرفتن = to take

Together, تماس گرفتن means to contact / to call / to get in touch.

In your sentence, گرفتم is the past tense, first person singular form of گرفتن:

• گرفتم = I took

So:

• تماس گرفتم = I contacted / I called

This kind of verb is very normal in Persian. The meaning often cannot be guessed just from translating each part literally.

Because the verb already shows the subject.

In گرفتم and داشتم, the ending -م tells you the subject is I.

• گرفتم = I took
• داشتم = I had

So Persian often drops subject pronouns when they are clear from the verb.
You could say من دیروز..., but it is usually unnecessary unless you want emphasis or contrast.

Persian has no definite article like English the.

So مدیر can mean:

• manager
• the manager
• a manager

The exact meaning depends on context. In this sentence, English naturally translates it as the manager, because the speaker probably has a specific manager in mind.

چون means because.

It introduces the reason:

• دیروز با مدیر تماس گرفتم = I contacted the manager yesterday
• چون درباره جلسه سوال داشتم = because I had a question about the meeting

So the second clause explains why the speaker contacted the manager.

Also, Persian allows some flexibility:

• چون درباره جلسه سوال داشتم، دیروز با مدیر تماس گرفتم.
• دیروز با مدیر تماس گرفتم، چون درباره جلسه سوال داشتم.

Both are natural.

درباره means about / regarding / concerning.

So:

• درباره جلسه = about the meeting

It introduces the topic of the question.

You can think of it as similar to English about:

• درباره کتاب = about the book
• درباره کار = about work
• درباره جلسه = about the meeting

Because جلسه is not the direct object of the verb.

In this sentence, جلسه is part of the prepositional phrase:

• درباره جلسه = about the meeting

The marker را is used for definite direct objects, but here جلسه comes after the preposition درباره, so را is not used.

Compare:

• جلسه را دیدم = I saw the meeting/session
• درباره جلسه سوال داشتم = I had a question about the meeting

Because that is a very natural way in Persian to express having a question.

• سوال داشتم = I had a question / I had some questions

This is idiomatic and common. English also sometimes says I had a question, so this part matches English fairly well.

You could also hear:

• یک سوال داشتم = I had a question / I have a question
• چند سوال داشتم = I had a few questions

In conversation, this is a very standard polite way to introduce a question.

Because the sentence is talking about a past situation.

• دارم = I have / I am having
• داشتم = I had

The speaker is explaining a past reason for a past action:

• I contacted the manager yesterday
• because I had a question about the meeting

So the past tense is the natural choice.

The ending -م marks first person singular: I.

Examples:

• گرفتم = I took / I got
• داشتم = I had
• رفتم = I went
• گفتم = I said

This is one of the most important patterns in Persian past tense verbs.

Yes. They are the same word: question.

• سؤال is a more traditional spelling
• سوال is a very common modern simplified spelling

Both are widely understood and used.

It is mostly neutral and natural.

A few notes:

• با مدیر تماس گرفتم sounds normal and fairly neutral
• درباره جلسه سوال داشتم is also natural
• The overall sentence would work in both spoken and written Persian

In more casual spoken Persian, someone might also say:

• دیروز به مدیر زنگ زدم، چون درباره جلسه سوال داشتم.

That version uses زنگ زدم = I called / I rang, which is a bit more conversational.