Želim da probam ove patike danas.

Because in Serbian, after verbs like želim (I want), it is very common to use da + present tense:

• Želim da probam = I want to try

This is one of the most basic Serbian sentence patterns. English uses an infinitive (to try), but Serbian often prefers this finite construction.

You may also hear or see an infinitive in some varieties or styles, for example:

• Želim probati

But in standard everyday Serbian, Želim da probam is the most natural choice.

Želim means I want or I wish.

It is the 1st person singular present tense form of the verb želeti (to want).

So:

• želim = I want
• želiš = you want
• želi = he/she/it wants

In this sentence, želim is the main verb, and da probam expresses the action the speaker wants to do.

Probam is the 1st person singular present tense form of probati.

So literally:

• da probam = that I try

But in natural English, this is simply:

• to try
• or, in this context, to try on

The subject is still I, which is why the form is probam.

In Serbian, the verb probati can often mean to try, to try on, or to test, depending on context.

With clothing or footwear, it usually means try on:

• probati patike = to try on sneakers
• probati jaknu = to try on a jacket

So Serbian does not always need a separate word corresponding to English on. The object itself tells you what kind of trying is meant.

Ove means these, and it agrees with patike in gender, number, and case.

Here:

• patike is feminine plural
• the sentence needs the accusative plural because the sneakers are the direct object of probam
• for inanimate feminine plural nouns, the accusative plural looks the same as the nominative plural here

So:

• ove patike = these sneakers

This is agreement:

• ova patika = this sneaker
• ove patike = these sneakers

Patike means sneakers, trainers, or sometimes tennis shoes, depending on the variety of English.

The singular is:

• patika = one sneaker

The plural is:

• patike = sneakers

When talking about footwear people want to wear or try on, Serbian very often uses the plural, just like English commonly says shoes or sneakers.

It is more specific than just shoes.

• patike usually means sneakers / trainers
• cipele usually means shoes
• čizme means boots
• sandale means sandals

So in this sentence, patike is not just any footwear; it specifically refers to athletic/casual lace-up shoes like sneakers.

Yes, danas (today) can move around. Serbian word order is fairly flexible.

These are all possible:

• Želim da probam ove patike danas.
• Danas želim da probam ove patike.
• Želim danas da probam ove patike.

The basic meaning stays the same, but the emphasis changes slightly:

• Danas želim... emphasizes today
• Želim da probam ove patike danas sounds neutral and natural

Yes. In fact, Serbian usually does leave it out unless you want emphasis.

So the normal sentence is:

• Želim da probam ove patike danas.

You could say:

• Ja želim da probam ove patike danas.

But ja is only added for emphasis, contrast, or clarity, something like:

• I want to try these sneakers today
  (not someone else)

Because želim already shows I, the pronoun is not necessary.

Yes, probati is very natural here.

It is the normal everyday verb for trying on clothes or shoes.

You may also encounter related verbs such as:

• isprobati = to try out / test thoroughly
• probavati = to keep trying on / try repeatedly

But for a simple sentence like I want to try these sneakers today, probati is exactly what you would expect.

It would be similar, but not identical in tone.

• Želim da probam... = I want / would like to try...
• Hoću da probam... = I want to try..., but often more direct, stronger, or more immediate

So:

• Želim can sound a bit more neutral or polite
• Hoću can sound more forceful depending on context

In many situations both are possible, but Želim da probam ove patike danas is a very good neutral sentence for a learner.