World number two just one behind
Meanwhile Rory McIlroy started well at the Farmers Insurance Open on the US PGA Tour in California.
A 5 under 67 leaves him a shot behind pace setters Keegan Bradley and Sebastian Cappelen.
Tiger Woods is well in touch at 3 under par.
McIlroy was happy with the way he played:
Offaly Golfer Aiming For Big Week At Open Championship
Stuart Grehan will be competing at next month's Championship in Southport.
Alex Dunne Looking To Keep Up Momentum In Spielberg
Dunne sits fourth in the Formula Two standings.
Shane Lowry Turns Attention To Travelers Championship
The Offaly man gets his first round underway tomorrow.
Midlands Players Selected On Ireland Squad For Australian Football League Women's Clash
Offaly's Amy Gavin Mangan and Laois' Erone Fitzpatrick are part of the panel.
Midlands Golfers To Compete At European Amateur Team Championships
Stuart Grehan and Ella Cantwell will be in action in Estonia.
World Cup: Lionel Messi Makes History
England and Portugal are in action this evening.
All-Ireland Knockout Place Still A Possibility For Offaly Camogie
The Faithful were two point winners over Dublin.
Athlone Town Play Out Draw With Wexford
It brings an end to their losing streak.
Offaly Suffer Heartbreak In Tailteann Cup
Wicklow came from eight points down to take down the Faithful.
It's Been A Joy To Be Involved With This Group - Mark McHugh
Westmeath's remarkable season came to an end yesterday.
Lily Agg Wins First Game As Athlone Town Manager
Town were 3-1 winners over Shamrock Rovers.
Cork Knock Offaly Out Of Hurling Championship
Ben O'Connor's side will now face Galway in two weeks.
Westmeath And Offaly Suffer Championship Ending Defeats
The draw for the All-Ireland Football Championship was made this morning.
Stuart Grehan Wins Amateur Championship In Liverpool
The Offaly man will now compete at the Open Championship next month.
We've Constantly Improved Over The Course Of The Championship - Johnny Kelly
Offaly face Cork this Sunday in an All-Ireland Quarter-Final.
Athlone Town Aiming To End Winless Run At Home To Wexford
Town are without a win since late April.
Shane Lowry Struggles On Opening Day Of US Open
The Offaly man still needs to complete his opening round.
World Cup: Mexico Through To Knockout Stages
Canada and Switzerland recorded big wins.
Our Players Have Good Memories Of Croke Park - Declan Kelly
Offaly take on Wicklow for a place in the Tailteann Cup Final.
Shane Lowry Tee Off Time Delayed Due To Heavy Fog
The Offaly man will now tee off at 8:47pm.
