Looking up from the street, this concrete, angular building looks no different from the many Brutalist tower blocks dotted around Belgrade.

As you go inside, a prison-style gate with vertical metal bars guards the white front door of the first flat on the left.

This was the home of Novak Djokovic’s grandfather Vladimir.

Here, the world’s leading male tennis player sheltered as a small child while Nato bombed the Serbian capital between March and June 1999.

When the head-pounding drone of air-raid sirens rang out, families spanning several generations, along with neighbours and friends from nearby blocks, all filed down the stairs, through several steel doors and into the basement.

This was a formative time for Djokovic, now a 16-time Grand Slam singles champion after winning a fifth Wimbledon title against Roger Federer.

As he celebrated his 12th birthday in May 1999, a decade-long crisis was tearing the Balkans apart and Belgrade was a focal point. Twenty years on, there is still tension over how Nato bombed Serbia for 11 weeks in an effort to push Serbian forces out of Kosovo, accusing them of atrocities against ethnic Albanians.

“When they sounded the alarm and the planes started to buzz, you never knew where the bombs would hit,” says Djordjo Milenic, an elderly man who was friends with Djokovic’s grandfather and lives in the adjacent block.

“They bombed whatever they wanted. ‘Collateral damage,’ they said. They bombed bridges, hospitals, pregnant women died.”

His voice trails off. “It’s hard, it’s hard.”

We are in Banjica, a residential area about 7km south of downtown Belgrade. Locals describe it as “an average suburb”, populated by working-class families from a Serbian ethnic background who live in moderately cheap high-rise flats.

Djokovic’s grandfather Vlada, as he was known by those close to him, lived in a two-bedroom flat here until his death in 2012.

Now it is unoccupied, owned - according to neighbours, at least - by one of Djokovic’s aunts, who they think lives in Switzerland.

Nevertheless, it will always be intrinsically linked to the story of how Djokovic rose from humble beginnings to become one of the greatest tennis players that has ever lived.

Djokovic was here with his widowed grandfather because his parents, father Srdjan and mother Dijana, spent most of their time away from Belgrade as they toiled to provide for their three sons - eldest Novak and his two younger brothers Marko and Djordje.

That meant spending most of the year in Kopaonik, a mountain resort near Kosovo, more than four hours’ drive from Belgrade.

By day they gave skiing lessons, by night they served pizza in the restaurant they owned. Srdjan and Dijana worked tirelessly to make ends meet while funding Novak’s burgeoning tennis career.

Not wishing to disrupt their children’s education, the Djokovic boys stayed with granddad Vlada.

“The basement is practically where we stayed. Everyone who could fit here they came, there was no limitation,” Novak said in an American TV documentary made by CBS in 2011.

“We were waking up every single night at 2am or 3am for two and a half months because of the bombings,” he said of those 78 days in 1999.

“In a way these experiences made me a champion, it made us tougher, made us more hungry for success.”

Many people around Banjica know the Djokovic family. Some shared the basement where they sheltered.

Milica Milivojevic is a 31-year-old woman who lives upstairs in Djokovic’s old block.

She says there were about “20 or 30” people inside the shelter, remembering it smelt of “moisture and humidity”.

“We heard bombs, but not while we were in the shelter,” she says.

“From outside we could hear bombs falling on Avala (a hill on the edge of Belgrade targeted because there was a telecommunications tower).

“Friends gathered in the basement, especially younger people. We played some board games - Monopoly or Risk - some older kids were drinking or doing drugs.”

She starts laughing: “A lot was going on.”

Of course there is no suggestion Djokovic, a child prodigy who had already appeared on national television proclaiming his dream was to win Wimbledon, took part in the ‘edgier’ adolescent activities.

He was too busy pursuing his dream of becoming world number one.