Al-Khalifa said a strong Egypt was a boon for the six-country Gulf Cooperation Council, of which Bahrain is a member, going on to stress that all GCC member states had an interest in maintaining Egypt's security and stability, Bahrain's official news agency reported.
According to the news agency, the Bahraini PM reiterated his country's support for Egypt's government and people in their bid to fight "terrorism" and preserve national security.
"Egypt's security is indispensable to the security of the GCC," the news agency quoted the Bahraini premier as saying during his meeting with Egypt's al-Tohami.
It added that the two officials had discussed issues of mutual concern.
The meeting between al-Tohami and Al-Khalifa comes only two days after a GCC summit wrapped up in Qatari capital Doha.
At the summit, Gulf leaders voiced support for Egypt and its transitional roadmap, which was imposed following the ouster last year of elected president Mohamed Morsi by the army.
On Sunday, Al-Tohami met Saudi Crown Prince and Minister of Defense Salman bin Abdel Aziz Al-Saud in Riyadh.
Some media reports have referred to Saudi efforts to promote reconciliation between Egypt and Qatar.
Relations between Cairo and Doha soured in the wake of Morsi's ouster last year. Egypt has been especially angered by what it describes as negative coverage of Egypt by Qatar's Al Jazeera Mubasher Misr channel.
Commenting on a recent deal between Gulf leaders that sought to bridge the gap between Cairo and Doha, Egyptian President Abdel-Fattah al-Sisi has said: "The ball is now in Qatar's court."