The region’s chief administrator, Volodymyr Trush, confirmed two people had been injured in the blast.
Ternopil mayor Serhiy Nadal also confirmed warehouses were damaged.
Ten minutes before taking to the stage at the Liverpool Arena, Ukrainian Eurovision act Tvorchi posted on Instagram citing reports that Ternopil in western Ukraine had been attacked.
After performing, Tvorchi wrote again on Instagram saying: ‘Ternopil is the name of our hometown, which was bombed by Russia while we sang on the Eurovision stage about our steel hearts, indomitability and will.
‘This is a message for all cities of Ukraine that are shelled every day. Kharkiv, Dnipro, Khmelnytskyi, Kyiv, Zaporizhzhia, Uman, Sumy, Poltava, Vinnytsia, Odesa, Mykolaiv, Chernihiv, Kherson and all others.
‘Europe, unite against evil for the sake of peace!’
The British Ambassador to Ukraine, Dame Melinda Simmons, has said Ukraine came under fire from Russian missiles on Saturday as the Eurovision Song Contest took place, including the university home town of the Ukrainian act Tvorchi.
‘Meanwhile, this Eurovision night Ukraine is under another Russian missile attack,’ Dame Melinda tweeted.
‘Reminder that the reason why (Ukraine) could not host this event is because (Russia) continues to invade and the people of (Ukraine) live in continuing danger.’
Praising Ukraine’s entrants in the song contest, Dame Melinda added: ‘Tvorchi (definitely) win the prize for graphics. The staging was brilliant.
‘And poignant as their university home town of Ternopil was targeted by (Russian) missiles this eve.’
Got a story? Get in touch with our news team by emailing us at webnews@metro.co.uk. Or you can submit your videos and pictures here.
For more stories like this, check our news page.
Follow Metro.co.uk on Twitter and Facebook for the current news updates. You can now likewise getMetro co.uk posts sent out directly to your gadget. Sign up for our everyday push notifies here.
Get your need-to-know.
newest news, feel-good stories, analysis and more