Around 30,000 protesters have taken to the streets in Kensington to show their support for the Palestinians.
The controversial QPR player got into a Twitter scrap with Israel international Yossi Benayoun, who took exception to his tweets about Gaza.
Families of some of the newborns are apparently unable to collect them because they have been displaced or their homes have been destroyed.
Civilians on both side of the conflict between Gaza and Israel have "suffered enough" and there needs to be an immediate ceasefire, according to a humanitarian worker for the UN.
Relief worker Christopher Gunness told Good Morning Britain "the men with the guns have to abide by the call for a ceasefire".
Israel's military has posted footage on YouTube which it claims shows a tunnel into the country from Gaza.
Israel's offensive in the strip has been partly-focused on destroying Hamas tunnels, with 32 said to have been uncovered since the ground phase of the conflict began.
Israel's halt of fire in the Gaza Strip is "unlimited," a military source has said, as fighting with Palestinian militants abated.
"The halt of fire is defined as unlimited, and we continue to tackle the tunnels," the source said, referring to a network of underground passages Israel says are used by Hamas gunmen to attack Israelis and store weapons.
The UN Security Council has urged Israel and Hamas to agree an "immediate and unconditional ceasefire" in Gaza.
In a statement, agreed to by all 15 members, the council said a truce "into the Eid period and beyond" was necessary to allow the delivery of "urgently needed assistance" in Gaza.
Some 1,030 Palestinians, mostly civilians, and 46 Israelis have been killed since the violence began nearly three weeks ago.
The council expressed "grave concern regarding the deterioration in the situation as a result of the crisis related to Gaza and the loss of civilian lives and casualties".
US President Barack Obama yesterday called for an "immediate and unconditional ceasefire" in a phone call with Israeli prime minister Benjamin Netanyahu.
Israel's prime minister Benjamin Netanyahu has criticised Hamas for rejecting ceasefire offers on Twitter.
SHARE THE TRUTH: Israel accepted all four cease-fire offers, while Hamas rejected them, continuing to fire at Israel. http://t.co/EQhuz5fkqa
US President Barack Obama has stressed the need for an "immediate and unconditional humanitarian ceasefire in Gaza" in a phone call with Israeli Prime Minister Benjamin Netanyahu.
The White House said Mr Obama added that "ultimately, any lasting solution to the Israeli-Palestinian conflict must ensure the disarmament of terrorist groups and the demilitarisation of Gaza".
An Israeli source has confirmed to ITV News that Israel fired a single mortar round into the playground at a UN-run school in Gaza three days ago.
Sixteen people were killed and more than 200 injured at the school in Beit Hanoun on Thursday where hundreds of Palestinians were taking shelter.
However the Israeli source said drone footage that has yet to be released shows the playground was empty at the time the "errant" mortar was fired.
ITV News Correspondent Dan Rivers reports from the site, which is still seen as too dangerous by the UN to investigate the cause of the deaths:
The Israeli Defence Forces have confirmed Thursday's strike on a UN school in Gaza came from a single "errant" Israeli infantry mortar round.
But the IDF have denied anyone was injured at the school in Beit Hanoun.
ITV News Correspondent Dan Rivers tweeted:
IDF now confirming what we tweeted earlier that only one “errant” mortar landed at UN school and IDF rejects claims people injured at school
Israeli Prime Minister Benjamin Netanyahu has told CNN that Hamas have broken a fresh ceasefire and are "continuing to fire at us as we speak".
He added Israel would "take whatever action is necessary to protect our people".
Israeli Prime Minister Benjamin Netanyahu says Hamas has violated its own ceasefire.