Graham said he spoke with President Donald Trump Wednesday morning.
President Donald Trump announced "major combat operations" against Iran on Feb. 28, with massive joint U.S.-Israeli strikes targeting military, government and infrastructure sites.
Following the announcement of a two-week ceasefire, initial U.S.-Iran talks in Pakistan earlier this month failed to reach a peace deal. On Tuesday, Trump announced he was extending the ceasefire and continuing the blockade until Iran's proposal is submitted and discussions are concluded "one way or the other."
President Donald Trump said that a renewed round of peace talks in the next 36 to 72 hours is "possible" in a text exchange with the New York Post Wednesday morning. The Post article cited sources saying that a new round of talks is possible as soon as Friday.
"It’s possible! President DJT," Trump said in a text message when asked about the possibility of those talks, according to the New York Post.
Iranian Foreign Ministry spokesperson Esmaeil Baghaei said Wednesday that the U.S.-Israeli war was imposed on Tehran and that all subsequent Iranian actions have been "in line with Iran's inherent right to legitimate defense against the military aggression," as quoted by Iranian state television.
Regarding Iran's non-attendance of a second round of peace talks in Islamabad this week, Baghaei said, "Diplomacy is a tool for securing national interests and security," adding that Iran will act only when it reaches the conclusion that "the necessary and logical grounds for using this tool to realize national interests" have been established.
Iran, Baghaei said, "will use every opportunity and capacity to hold the aggressors accountable and to realize Iran's rights, including administering justice to the perpetrators and founders of war crimes and demanding compensation."
-ABC News' Somayeh Malekian
The Islamic Revolutionary Guard Corps Navy confirmed its interdiction and seizure of two vessels on Wednesday which it said were "attempting to secretly exit the Strait of Hormuz."
The IRGC Navy named the two vessels as the MSC Francesca and the Epaminondas. Both were transferred to Iranian territorial waters "in order to examine the cargo and documents," the navy said.
ABC News has reached out to MSC for comment.
-ABC News' Somayeh Malekian
The Islamic Revolutionary Guard Corps (IRGC) issued a statement Wednesday saying that its forces are "at the peak of readiness and determination to continue fighting the enemies," as quoted by Iranian state television.
The IRGC said it is ready to present "surprises beyond the enemy's comprehension on the battlefield." The statement also marked the anniversary of the IRGC's establishment.
"The Revolutionary Guard Corps is ready to confront decisively and immediately against any threat or repeated aggression by the enemies, and in the new round of possible military battle, it will inflict crushing blows beyond the enemy's imagination on their remaining assets in the region," the statement said.
On Tuesday evening, Iranian forces displayed a ballistic missile in an orchestrated gathering in Tehran.
-ABC News' Somayeh Malekian and Joe Simonetti
