Procediamo con il piano.

It comes from the verb procedere, which means to proceed, to go ahead, or to continue onward depending on context.

So:

• procedere = the infinitive
• procediamo = we proceed / let’s proceed

This verb is a little more formal than very basic verbs like andare avanti or continuare.

Procediamo is first person plural (we) in the present tense.

So grammatically, it is:

• io procedo = I proceed
• tu procedi = you proceed
• lui/lei procede = he/she proceeds
• noi procediamo = we proceed
• voi procedete = you all proceed
• loro procedono = they proceed

In this sentence, procediamo can mean either:

• we proceed with the plan
  or, very naturally in context,
• let’s proceed with the plan

Italian often drops subject pronouns when the verb ending already makes the subject clear.

Since -iamo clearly shows we, there is no need to say noi.

So:

• Procediamo con il piano. = perfectly normal
• Noi procediamo con il piano. = possible, but more emphatic

You would add noi only if you want contrast or emphasis, such as we, not someone else.

It can work as both, depending on context.

Most often, Procediamo con il piano. is understood as a polite or formal let’s expression:

• Let’s proceed with the plan.

That is because Italian commonly uses the noi form to make suggestions that include the speaker.

So in real usage, this often functions like a group-directed suggestion or decision.

Grammatically, the form is the same as the we present form, so context tells you whether it means:

• we are proceeding with the plan or
• let’s proceed with the plan

Because procedere often takes con when you mean to proceed with something.

So:

• procedere con qualcosa = to proceed with something

In this sentence:

• con = with
• il piano = the plan

English and Italian match fairly well here: proceed with the plan = procedere con il piano.

Italian uses articles much more often than English does.

Here, il piano means the plan, referring to a specific plan already known to the speakers.

So:

• piano alone would sound incomplete in this context
• il piano is the normal choice when talking about a definite, known plan

This is very common in Italian: where English might sometimes be more flexible, Italian often prefers a clear article.

Yes. Con il can contract to col.

So these are both possible:

• Procediamo con il piano.
• Procediamo col piano.

Con il is fully standard and very clear.
Col is also standard and common, especially in speech.

In modern written Italian, many speakers choose con il, but col is absolutely normal.

Yes, it sounds somewhat formal or businesslike.

Procedere is a more formal verb than some everyday alternatives. You might hear it in:

• meetings
• official discussions
• military or strategic contexts
• professional planning
• instructions

A less formal alternative could be:

• Andiamo avanti con il piano.
• Continuiamo con il piano.

Those sound a bit more conversational.

They are similar, but the tone is a little different.

• Procediamo = let’s proceed / let’s move forward
  
  • more formal, orderly, deliberate
• Continuiamo = let’s continue
  
  • emphasizes continuing something already in progress
• Andiamo avanti = let’s go on / let’s move ahead
  
  • more everyday and conversational

So Procediamo con il piano suggests something like let us now move forward with the plan in a deliberate way.

A helpful approximate pronunciation is:

pro-che-DYAH-mo kon eel PYA-no

A few important points:

• In procediamo, the c before e sounds like ch in chair
• The stress is on -dia-: pro-ce-DIA-mo
• piano here means plan, not the musical instrument pronunciation in English; in Italian it is PYA-no

More closely:

• procediamo = /pro-tche-DYAH-mo/
• con il piano = /kon il PYA-no/

Yes, but Procediamo con il piano is the most neutral and natural order.

Italian word order is flexible, so you could move parts around for emphasis, for example:

• Con il piano, procediamo.

But that sounds more marked or rhetorical. In ordinary speech, the standard order is best:

• Procediamo con il piano.

It is the same spelling, but a different meaning.

In Italian, piano can mean several things depending on context, including:

• plan
• floor/story of a building
• slowly (in another use)
• and it can also appear in musical contexts

In il piano, here it clearly means the plan because of the context and the phrase procedere con il piano.

Yes, especially in contexts where the tone is a bit formal, organized, or strategic.

It sounds natural in situations like:

• a team meeting
• a project discussion
• an official decision
• a movie scene involving strategy or operations

In casual everyday conversation, many speakers might prefer something slightly simpler, like:

• Andiamo avanti con il piano.
• Continuiamo con il piano.

But Procediamo con il piano is definitely real, natural Italian.