Cricket Australia remains "comfortable" with the level of security provided to the Australian team, after terror attacks in London on Saturday night left at least seven dead and 48 injured.

Australia are one of three teams in London, one of the venues for the Champions Trophy. They are due to play Bangladesh on June 5 at The Oval in south London.

"As with the rest of the world, the Australian team is shocked and saddened at the events that have occurred in London overnight and our thoughts are with those directly involved and their loved ones," CA said. "The team, support staff and travelling contingent have been accounted for.

"Our security team is working closely with the ICC and LOC to ensure the safety and security of our players and support staff is paramount. At this stage we are comfortable with the level of security being provided to us and will continue to monitor the situation."

Steven Smith, Australia's captain, spoke after the team trained at The Oval on Sunday morning. He read from the CA statement and added the players were "saddened and hurt" by events but were happy to continue playing in the tournament.

Australia had travelled down from Birmingham, where they played their first game against New Zealand, and the squad and support staff were in their hotel in west London when the attack was taking place in London Bridge. Smith said he has seen reports on Twitter before turning on the news, but that the players were quickly reassured by team security.

"You never want to see that happening around the world," he said. "Particularly, when we are so close to the events of last night. We have been briefed by our security team this morning and they are comfortable with where security is at and for us it is just about being diligent with everything that we do and continuing the tournament as usual."

"Guys were a little bit concerned at the time and didn't really know what to do so Frank [Dimasi], our security guy, just made sure that we remained in the hotel and stayed nice and safe. I think everyone was on the phone just letting their loved ones back home know that everything was okay with everyone involved in our team."

Smith added that the group would continue to be "smart" in what they get up to in London over the next few days before returning to Birmingham for Friday's match with England. "We've been advised to stay relatively close to the hotel and just be diligent with whatever we do," he said. "Just make sure we're on the lookout and being smart with whatever we do."

Following the attacks, the ICC ensured all team hotels went into lockdown, with every team, match official and related staff accounted for. The enhanced security measures put in place following the suicide attack at a pop concert in Manchester two weeks ago will continue.

"Our thoughts are with everyone affected by what has happened in London overnight," the ICC said in a statement. "We operate on advice from our Tournament Security Directorate - in conjunction with the ECB and relevant police and security authorities - to ensure that we can deliver a safe and secure event. We will continue to work with authorities over the coming hours and days and review our security in line with the threat levels.

"The security situation has been very much front and centre of our preparations and we constantly review our procedures to guarantee they are as effective as possible to keep everyone safe."

Following the Manchester attack, Cricket South Africa had said there were concerns over safety but was comfortable with the reassurances and guarantees provided regarding the team's security. South Africa are touring the UK not only for the Champions Trophy but also for a bilateral series against England.