The 21-year-old scored one try in two appearances for the Welsh region but crossed eight times in 26 games for Welsh Premiership side Cardiff RFC, who come under the umbrella of the Blues.
Bath have also handed a new two-year contract extension to back row Levi Douglas, 20, who joined the English Premiership club's academy in December.
He has made three senior appearances since signing from French side Oyonnax.
On Tuesday, Bath announced Argentina wing Horacio Agulla will leave the club at the end of the season.
Mike Ford's side are ninth in the table ahead of their final match of the season against Leicester Tigers on Saturday,

Nasheed, the opposition leader, was controversially jailed for 13 years under anti-terror laws last year.
He was allowed to travel to the UK to receive treatment on his spine.
His lawyer Hasan Latheef said Nasheed had been granted political refugee status, but the British government has not commented.
A former human rights campaigner, Nasheed became the nation's first democratically elected leader in 2008, ending three decades of rule by former strongman Maumoon Abdul Gayoom.
Why did the Maldives release its most famous prisoner?
In 2012, he was detained after being accused of ordering the arrest of a judge. He resigned months later amid an army mutiny and public protests over the judge's fate.
Nasheed alleged that he had been removed by a coup, but this was denied by his vice-president, who replaced him.
The current President, Abdulla Yameen, was elected in controversial polls in 2013 and is the half-brother of Mr Gayoom.
"Given the slide towards authoritarianism in the Maldives, myself and other opposition politicians feel we have no choice but to work in exile - for now," said a statement issued by Nasheed's office on Monday.
The Maldives foreign ministry said it feared Nasheed had used the request for medical treatment as a way to get out of his prison term.
It said the government was awaiting confirmation asylum had been granted. If confirmed, the Maldives government "would be disappointed the UK government is allowing itself to be part of this charade, and further, is enabling an individual to circumvent his obligations under the law", the statement said.

A fire, started by a spilled oil lamp, swept through Exhall pit near Bedworth on 21 September, 1915, threatening the lives of the 375 men working there.
The majority of the men were led to safety through a ventilation shaft by the man in charge underground.
A circle of 14 trees, one for each man who died, has been planted around a granite memorial.
The memorial, in St. Giles Meadow, was unveiled by the High Sherriff of Warwickshire.
Bath have signed Cardiff Blues' Welsh wing Harry Davies ahead of next season.
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The former president of the Maldives, Mohamed Nasheed, has been granted refugee status in the UK, according to his lawyer.
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A memorial has been dedicated to 14 men who died in a Warwickshire mining disaster a century ago.