Reușesc să termin raportul înainte de ședință.

Romanian often drops subject pronouns because the verb ending already shows the person.

• Reușesc = I manage / I succeed
• So eu is not necessary.

You can say Eu reușesc să termin raportul înainte de ședință, but eu adds emphasis, like I manage to finish it.

Reușesc is 1st person singular, present tense of a reuși.

So it means:

• eu reușesc = I manage / I succeed

In this sentence, it expresses a present ability or successful completion relative to the situation.

Because a reuși belongs to a common Romanian verb pattern where the present tense uses -esc in some forms.

For a reuși:

• eu reușesc
• tu reușești
• el/ea reușește
• noi reușim
• voi reușiți
• ei/ele reușesc

So -esc here is just part of the normal present-tense conjugation.

After many Romanian verbs, the next verb is introduced with să instead of using a bare infinitive the way English often does.

So:

• English: I manage to finish
• Romanian: Reușesc să termin

This is one of the most important Romanian patterns to learn:

• vreau să plec = I want to leave
• pot să vin = I can come
• reușesc să termin = I manage to finish

No. Termin is a finite verb form, not an infinitive.

The infinitive is:

• a termina = to finish

After să, Romanian usually uses the subjunctive clause:

• să termin

For many verbs, the 1st person singular subjunctive looks the same as the present indicative:

• eu termin = I finish
• să termin = that I finish / for me to finish

The word să is what signals the subjunctive construction here.

Not exactly.

• pot să termin = I can finish / I am able to finish
• reușesc să termin = I manage to finish / I succeed in finishing

Pot să focuses on ability or possibility.
Reușesc să suggests that the action is actually achieved, often despite some difficulty.

Raportul means the report. The ending -ul is the Romanian definite article, which is attached to the end of the noun.

• raport = a report / report
• raportul = the report

Romanian usually puts the definite article at the end of the noun, unlike English, which uses a separate word.

In expressions like înainte de ședință, Romanian often uses the noun without the definite article, especially in time/event expressions.

So:

• înainte de ședință = before the meeting
• după școală = after school
• după masă = after lunch

Even though English often uses the, Romanian may prefer the bare noun in these set expressions.

A more explicitly definite or formal alternative can be:

• înaintea ședinței

But înainte de ședință is very natural and common.

Use înainte de before a noun:

• înainte de ședință = before the meeting

Use înainte să before a verb clause:

• înainte să plec = before I leave
• înainte să începem = before we begin

So in your sentence, ședință is a noun, which is why de is used.

Yes, you can say it. It is grammatically correct.

• Reușesc să termin raportul înainte de ședință.
• Eu reușesc să termin raportul înainte de ședință.

The version without eu is more neutral and natural in many situations.
The version with eu gives extra emphasis, contrast, or clarity.

The important Romanian letters here are:

• ș = sh as in ship
• ț = ts as in cats
• ă = a short neutral vowel, somewhat like the a in about

Very rough pronunciation help:

• reușesc ≈ reh-oo-SHESK
• ședință ≈ sheh-DEEN-tsuh

These are only approximations, but they are useful for getting started.

Romanian word order is fairly flexible, but the original order is the most neutral and natural:

• Reușesc să termin raportul înainte de ședință.

You can move parts around for emphasis, but not every order sounds equally natural. For example:

• Înainte de ședință reușesc să termin raportul.
  This emphasizes the time expression a bit more.

For a learner, the original version is the safest pattern to use.