Marco Rubio called the ongoing talks a "diplomatic charade."
Democrats accused Republicans of slow-walking the process.
The senators said "no one wins" if Congress can't reach an agreement.
Sen. Lamar Alexander said he expects "robust discussion and debate."
But McConnell says that Republicans have the Senate working again.
The legislation would make it easier for low-income families to use solar energy.
"When you are not winning in warfare, you are losing," Sen. John McCain said.
The Kentucky Republican targeted the funding in his latest edition of "The Waste Report."
Under the New York Democrat's bill telemarketers could face fines or jail time.
Obama will need lawmakers to approve an ambassador and provide funds for an embassy.