The phrase "a suitcase containing" is correct and usable in written English.
You can use it when describing the contents of a suitcase, particularly in contexts where you want to specify what is inside it.
Example: "She opened a suitcase containing various souvenirs from her travels around the world."
Alternatives: "a suitcase filled with" or "a suitcase holding".
Most prominently, on September 9th a trial arising from the seizure a year ago at a Buenos Aires airport of a suitcase containing almost US$800,000, allegedly from the Venezuelan state oil company, Petróleos de Venezuela (PDVSA), got under way in Miami.
He had a knife, a pistol and a suitcase containing $750,000 in American $100 bills.
The Bachs brought with them a suitcase containing 40 million baht (about $1m), which impressed Chumlong.
Soon after, another friend asked them to keep a suitcase containing valuables before he was sent to a ghetto.
Sources have told the BBC a suitcase containing bomb components was recovered from woodland being searched in High Wycombe.
Rich Fitzpatrick, who carries "the football," a suitcase containing codes to launch nuclear weapons, was sleeping in the basement of the White House.
What else?" Steadman ended up catching a flight to New York — no shoes, no socks and a suitcase containing only dirty underwear and a sketchbook.
Agents began doing surveillance of the airline, and soon arrested an airport employee diverting a suitcase containing 17 kilograms of cocaine.
We emptied a suitcase, containing an envelope of money but also clothing, soaps, pain medication, underwear and other items that we had brought from the United States.
"We literally only showered just now," she said, as her assistant, Bolaji Animashaun, hauled a suitcase containing her new collection onto a table.
Inside the car police found a suitcase containing 250,000 euros, which Pagliari explained as part-payment of the transfer fee for Venezia defender Ruben Maldonado.
