Precious cargo: Doting mother Natalie Portman swaddles up bundle of joy Adelph as she makes her way around Paris

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By Jade Watkins

Precious: Natalie Portman wrapped her baby Adelph up in swaddle cloth as she made her way around Paris, yesterday

She only just introduced her baby boy Adelp to the world yesterday, after stepping out with the newborn bundle of joy in Paris.

And Natalie Portman was once again out and about with her infant son as she made her way around the French capital.

The 30-year-old Black Swan star wrapped her precious cargo up in patterned swaddle cloth, making sure to shield the little one from the cooler climate.

Once again the star dressed casually in a pair of denim jeans, a loose fitting plaid shirt and a comfortable pair of flat s for her day out.

The make-up free actress looked a little on the tired side, no doubt a result from being busy with her baby boy.

Natalie and her fiancé Benjamin Millepied were seen out with their baby son Aleph for the very first time, on Wednesday.

The newborn made his first public appearance before a dinner in the French capital, where the couple are currently holidaying.

Aleph, who was born in June, was seen being cradled in both the arms of his mother and father.

Enjoying a chic dinner en famille as the couple went to dine with friends at Market Restaurant, the chic Jean-Georges eatery, near the Champs Elysée, yesterday.

First look: Natalie débuted baby son Aleph for the very first time, as she arrived at Market Restaurant in Paris, on Wednesday

The Oscar-winning actress was seen carefully lifting her bundle of joy out of his stroller before entering the restaurant.

The Black Swan star showed off her post-pregnancy figure in a pair of black leggings and a blue pullover.

She paired the look with a socks and flats combination and kept herself under wraps with a blue Ralph Lauren baseball cap.

Later in the evening, her fiancé Ben, 34, was also seen taking a tender moment with his son, cradling the newborn as he adoringly looked into his eyes.

The couple have kept a low profile since the birth of Aleph in June, and Natalie has since been only pictured out and about for the first time last month, but mostly on her own.

Doting dad: Natalie's fiancé Ben was also seen taking a tender moment with his son, cradling the newborn as he adoringly looked into his eyes

And it seems that the actress is enjoying her time off from work.

Entertainment Weekly reports that she has turned down a role in the indie film Adaline, which was expected to be her first job after returning from maternity leave.

The film, which was also offered to Katherine Heigl, is about a woman who mysteriously stops ageing after an accident.

But a spokesperson for the actress has confirmed she won't be taking on the role after all.

Natalie has remained in the spotlight despite not working, with films Thor and Your Highness being released in the last few months.

Another recent film, Love And Other Impossible Pursuits, has just been released on DVD in the UK.

Keeping warm: The Oscar-winning actress bundled her baby up in a blanket to protect him from the cooler Parisian weather

Portman plays Emilia, a newlywed who tragically loses her baby at three days old.

The Black Swan star, who is engaged to Aleph's father Benjamin, discussed looking forward to becoming a mother in an interview earlier this year.

She said: 'With my child, I think I will just thank them. It's sort of been a protection.

'It feels like a protection against all the hoopla and the part that keeps you centred where your meaning is and what is actually important in the midst of shiny stuff that's superficial.'

Low profile: Natalie has only been pictured out and about for the first time last month, but mostly on her own

Natalie added: 'I'm sure I'll make lots of mistakes, but I'm open to learning.'

Natalie and her future husband Benjamin met on the set of the film Black Swan, on which Benjamin was the lead choreographer and Natalie's dance partner.

When she accepted her Best Actress Oscar earlier this year, she paid tribute to her French husband-to-be, saying: 'My beautiful love, Benjamin, who has now given me my most important role of my life.'